If the length of the base of a rectangular is increased by 30% and the length of the altitude is increased by 20% by what percentage  is the ares increased?

Q: 1. A 13-m ladder is placed against a building to reach a window that is 5 m above the ground. How…

A: Dear,as per company guidelines we can answer only one question at a time, kindly post other question…

Q: A rectangular yard has a width-to-length ratio of 5 : 8. If the distance around the yard is 2600 ft,…

A: NOTE: Refresh your page if you can't see any equations. . w=width and l=length the width-to-length…

Q: that are The walls of a toilet, 2.5 m long, wide and 3 m high, are to be covered with tiles 15 cm by…

A: Dimensions of each tile is given as: 15cm×15cm Then, area covered by each tile is:  15×15=225cm2…

Q: An isosceles triangle whose equal sides form an angle θ and whose third side has length t sits on…

A:

Q: If the ratio of the areas of two figures is . What is the scale factor of the figures?

A: We have to choose correct option

Q: How far from the base of a building must a 25-ft ladder be placed so that it reaches 20 ft up the…

A: We will use Pythagoras theorem to find solution to the problem .

Q: 1. A gutter with trapezoidal cross section is to be made from a long sheet of tin that is 18 inches…

A:

Q: the diagonals of a rectangle ore 48 centimecters long Ond intersect at an ongle of 32°. What Is the…

A: The graphical representation of the given data is shown as the following. So, as per the question,…

Q: A structure is 384 m tall. How wide would the structure have to be in order for the ratio of the…

A: Given : Height of the structure is 384 m

Q: A gutter having trapezoidal cross-section is to be made by bending a strip of tin 1 meter wide. If…

A: Given that the trapezium is to be made by bending a strip of tin 1m=100cm wide. If the width of the…

Q: A cylinder and a cone, each with 9-m radii and 5-m heights Are the shapes similar? If the shape are…

A: A cylinder and a cone, each with 9-m radii and 5-m heights

Q: A map is scaled in such a way that 4 cm represents 7 km of the actual distance. If two towns are 11…

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Q: If the length of the radius and the height of a right circular cylinder are both tripled to form a…

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Q: The areas of two similar triangles are equal to 64 cm2 and 81 cm2. What is the ratio of their…

A: Let's find ratio of their corresponding altitudes.

Q: If the length of the radius and the height of a right circular cylinder are both quadrupled to form…

A: Let smaller cylinder dimensionsRadius=rHeight=h∴ volume=πr2hLarger cylinder…

Q: If a horse is tied to a stake by a tether 30 ft long, over how many square feet may it graze?

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Q: A factory is to be built on a lot measuring 160 ft by 300 ft. A local building code specifies that a…

A: It is given that The factory and the lawn occupy equal areas. Suppose  that, The length of the…

Q: 20. The diagonals of a rectangular trapezold have a length 13 cm and 15 cm and the difTerence in the…

A:

Q: If the length of the radius and the height of a right circular cylinder are both doubled to form a…

A: Let the initial radius and height of the cylinder be R and H respectively.

Q: A cylindrical standpipe is to contain 343,000gallons of water. If the height is to be twice its…

A:

Q: Nine pegs are evenly spaced on a board so that the distance from each end to a peg equals the…

A: it is given that the board is 5 ft long. here the objective is to find the distance between the…

Q: If an open box is made from a square tin sheet 12×12 in. by cutting an identical squares from each…

A: in this question, there is an open box made by 12*12in  tin sheet For the box to be of the largest…

Q: . The angles of an oblique parallelepiped are equal to the corresponding angles of another…

A: Angle of Parallelepiped 1 = Angle of Parallelepiped 2Side of  Parallelepiped 1 =3 side of…

Q: 1) The volume of a rectangular prism is 96 cubic inches. If the height is 8, and the length is 6,…

A: "Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: A rectangle has base length x + 3, altitude length x + 1, and diagonals of length 2x each. What are…

A: The base, altitude and diagonal of a rectangle make a right triangle.

Q: 2. The width of a rectangular lot is 3 meters less than its length, if the area of the lot is at…

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Q: 12. Each side of an isosceles triangle is 11 cm longer than the base. If the perimeter of the…

A:

Q: On a scaled drawing, a building measures 4.5 cm tall. If the scale of the drawing is 25 meters per 2…

A: Given   The building measures 4.5 cm tall on scale .  The scale of the drawing is 25 meters per 2 cm

Q: 2 The altitude of the great Pyramid of Cheops in Egypt originally was 480 ft. and its square base…

A:

Q: 13. The top and bottom margins of a poster are each 9 cm and the side margins are each 6 cm. If the…

A: Suppose the dimensions of the poster are, x(length) and y(breadth) of the printed area. Here, given…

Q: If area of a triangular peice of cardboard is 90 cm2 , then The length of altitude corresponding to…

A:

Q: A gardener plans to enclose a rectangular region using fencing on three sides and part of a shed on…

A: A gardener plans to enclose a rectangular region using fencing on three sides and part of a shed on…

Q: 25) A 12 ft ladder is rested against the top of a 10 ft wall. How far is the bottom of the ladder…

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Q: 3. The cross-section of a tunnel, 50 meters in length is in the form of a rectangle 8 m wide and 4 m…

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Q: If one side of a square pattern cell measures 1km, what is the distance between it opposite cell?

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Q: If the length of the base of a rectangle is increased by 20 percent but the length of the altitude…

A: Given, The base(Length) of the rectangle is increased by 20 percentage. The altitude(Width) of the…

Q: 5. A trapezoidal gutter is to be made, from a strip of metal 22 inches wide by bending up the edges.…

A: Solution of above question is shown below

Q: 2. Find the length of the edge of a cube if its length is increased by 6 cm, its width increased by…

A:

Q: 2) A ladder is leaning against the side of a house. If the base of the ladder is 3 ft away from the…

A: We will use Pythagorean theorem to find answer to the question .

Q: An isosceles triangle has a base of /20 m. Each of the equal sides is 3/7 m long. What is the exact…

A: Using formula of area of isosceles triangle

Q: If the length of the base of a rectangle is increased by 20 percent and the length of the altitude…

A: Let the length of the base of the rectangle = x Given that x increases by 20% so, the new length =…

Q: An architect is designing a composite window by attaching a semicircular window on top of a…

A: Given:- An architect is designing a composite window by attaching a semicircular window on top of a…

Q: 9. A trapezoid has a height of 24 meters, a base of 4 meters, and an area of 264 square meters. What…

A: Given : A trapezoid has a height of 24 meters, a base of 4 meters, and an area of 264 square…

Q: 2. A rectangular field has a length of 120 m and a width of 300 ft. What is the area of the field in…

A:

Q: A ball is dropped from a height of 48 ft and rebounds two-thirds of the distance it falls. If it…

A: A ball is dropped from a height of 48 ft and rebounds two-thirdsof the distance it falls. it will…

Q: 2. A ladder 12 m long is placed so that its front is 3 m from a building. How far must the foot of…

A: This question can be solved by applying the concept of Pythagoras theorem.

Q: Suppose you have a rectangular pyramid with a base length of 4.5 in, a width of 7 in, and a pyramid…

A: Base length of pyramid:= 4.5 in Width of pyramid:= 7 in Height of pyramid:= 16 in   Now:          If…

Q: 19) Find the volume of a rectangular pyramid which has length equal to half its width, a base area…

A: To find the volume of a rectangular pyramid which has length equal to half its width, a base area of…

Q: A flagpole is secured on opposite sides by two guy wires, each of which is 5 ft longer than the…

A: Let the height of the flagpole be x ft. Then the given data can be shown in the following…