13. The top and bottom margins of a poster are each 9 cm and the side margins are each 6 cm. If the area of printed material on the poster is fixed at 864 cm², find the dimensions of the poster with the smallest area.

Q: 1.  A contractor has to build rectangular pool 12 metres long and 8 metres wide. The pool must, by…

A: Step:-1 Part (a) Given that a rectangular pool of length =12 meter and width =8 meter Also, pool has…

Q: 8. Find the dimensions of a rectangle with area 1000 m² whose perimeter is as small as possible.

A:

Q: The corner cupboard shown below has 3 circular shelves that each have 270° of usable space. If…

A: Although the figure is not shown, we will solve using the given data.

Q: 10. If the length of the top of a rectangular table is 15 inches more than its width and the area is…

A:

Q: 5) The length of rectangle is 4 cm longer than the width, and the perimeter is at least 48 cm. What…

A:

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

A: The altitude of the Great Pyramid of Cheops is h=480 ft and its square base was a=764 ft on an edge.…

Q: 3. An open rectangular box w/ square ends to hold 6400 cu ft, is to be built at a cost of Php 75.00…

A: Given: An open rectangular box  square ends to hold 6400 cu ft,Cost for base end = Php.75Cost for…

Q: 3. if 1 square unit = 10 square meters, and 1 liter of paint that costs 200.00 pesos can cover 13.33…

A: Given query is to find the amount needed to pain to the wall.

Q: 9. If the diagonal of a rectangular room is 30 feet and one wall measures 6 feet longer than the…

A:

Q: The surface of a soccer ball is composed of 12 regular pentagons and 20 regular hexagons. With each…

A: Given, the surface of soccer ball is composed of 12 regular pentagons and 20 regular hexagons. Each…

Q: D. A FARMER WANTS TO CONSTRVCT THE LARGEST RECTANG ULAR LIVESTOCK PEN USING 840 METERS OF FENCING…

A:

Q: 3. if 1 square unit = 10 square meters, and 1 liter of paint that costs 200.00 pesos can cover 13.33…

A:

Q: A contractor has to build rectangular pool 12 meters long and 8 meters wide. The pool must, by…

A: Given: Length of pool = 12 meter Breadth of pool = 8 meter  The area of rectangular border must be…

Q: 5. FIND THE MAXIMUM AREA FOR A RECTANGULAR ENCLOSURE USING 480 FEET OF FENCING MATERIAL AND…

A: I am attaching image so that you understand each and every step.

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: 4. Find the dimensions of a rectangular box with a square base which has a volume of 12 cubic feet…

A:

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

A:

Q: 1. The size of a Tv screen is given by the length of its diagonal. If the dimension of a TV screen…

A:

Q: If the length of three sides of a trapezium other than base are equal to 10 cm, then find the area…

A:

Q: What are the dimensions for the cheapest possible rectangular box with a volume of 56 cm if the…

A: Consider the provided question, Let length of the box = l cm Width of the box = w cm And, height of…

Q: The top and bottom margins of a poster are 6 cm and the side margins are each 8 cm. If the area of…

A:

Q: 7. Find the dimensions of a rectangle with perimeter 100 m whose area is as large as possible.

A: The objective of the question is evaluate the dimensions of the rectangle for larger area.   we have…

Q: (c) A contractor has to build rectangular pool 12 metres long and 8 metres wide. The pool must, by…

A: (i) It is given that the length of the rectangular pool is 12 m and width is 8 m and the area is 12…

Q: If area of a rectangular ground is 12500 m^2. Length is 125m. Its perimeter will be ?

A: It is given that,  Area, A=Length ×Breadth=12500 m2 Length, L=125 m Therefore,…

Q: 3. A rectangular yard with an existing stonewall on one side is to be fenced off. If the area of the…

A:

Q: 2. A closed rectangular box that would enclose 36 cubic centimeters is to have a base whose length…

A: Given a closed rectangular box having a volume V=36 cm3 length of the box is twice its width, let…

Q: A wire of length L meters is to be divided into two parts; one part will be bent intoa square and…

A:

Q: 4. A farmer with 160 ft of fence wishes to use the fence to enclose a rectangular area and then…

A:

Q: A contractor has to build rectangular pool 12 meters long and 8 meters wide. The pool must, by…

A:

Q: For tax reasons, I need to create a rectangular vegetable patch with an area of exactly 32 square…

A: Given data- Area of rectangle= 32 square feet. The fencing of east and west side costs= $4 per foot.…

Q: 7. The top and bottom margins of a poster are each 6 cm and the side margins are each 4 cm. If the…

A:

Q: 4. The length of a rectangular box is 3 ft more than its width and the height is 5 ft more than its…

A: Consider a rectangular box with length l, width w and height h. Then the volume of this rectangular…

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

A:

Q: An open box, no more than 5 cm in height, is to be formed by cutting four identical squares from the…

A: The dimension of the metal sheet is 25 cm by 32 cm. Let x cm be the side length of the squares…

Q: 13. Find the dimensions of the rectangle of largest area that can be inscribed in an equilateral…

A:

Q: If the length of three sides of a trapezium other than the base are equal to 10cm, then find the…

A:

Q: A contractor has to build rectangular pool 12 metres long and 8 metres wide. The pool must, by…

A: Let us take x=the width of the tile border. By the agreement, the pool must contain a rectangular…

Q: 2. Carl builds a rectangular pig pen with two parallel partitions using 150 meters fencing…

A: We can solve the given problem by using the second derivative test.

Q: 10. A farmer wants to fence in two rectangular garden plots, twice as long as wide, situated along a…

A:

Q: 4. If the area of a rectangle is (x+5x +6) m² and its width is (x+3) m, what is its length?

A:

Q: A contractor has to build rectangular pool 12 metres long and 8 metres wide. The pool must, by…

A: i) Given that, the length of the pool is 12 meters and 8 meters wide, the are of the pool should be…

Q: 3. A sheet of cardboard 3ft by 4ft will be made into a box by cutting equal-sized squares from each…

A: NOTE: Refresh your page if you can't see any equations. . the length, width, and height of the box…

Q: A contractor has to build rectangular pool 12 metres long and 8 metres wide.  The pool must, by…

A: Consider the equation

Q: 13. Find the dimensions of a rectangle with area 1000 m² whose perimeter is as small as possible.

A: Given: Area of the rectangle is 1000 m2.

Q: 4. A rectangular sheet of metal with dimensions 20 cm by 15 cm is to be used to create an open top…

A: According to given, Height of the box(h)= x Length of the box(l)= 20-2x Width of the box(b)= 15-2x…

Q: If a cube has edges that are each three times as long as a second cube, then its volume will be nine…

A: Volumes

Q: . A rectangular piece of cardboard measuring 24cm by 30cm is to be made into an open top box by…

A:

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: (c) A contractor has to build rectangular pool 12 metres long and 8 metres wide. The pool must, by…

A: (i) Let x be the width of the border. Given that, the rectangular pool is 12 meters long and 8…