Chapter 2, Problem 38P

An engineering co-op wants to hire an asphalt contractor to widen the truck entrance to the corporate headquarters as shown in Fig. P2.38.

The height h is required to be 10 ft. more than the width b. and the total area of the new asphalt is given by $A=\frac{1}{2}b\left(10+b\right)$.

(a) If $A=200$ sq. ft., obtain the quadratic equation for b. (b) Solve the quadratic equation found in part (a) by completing the square and the quadratic formula.

(c) Find the dimensions of the width