Solve application problems using quadratic equations.

Question

The area of a rectangle is 60 square inches. If the length is 3 times the width, then find the dimensions of the rectangle. Round off your answers to the nearest hundredth.

Answer 1

L = length and W= width.

If the length is 3 times the width, then L = 3W.

Using substitution, A = LW becomes A = (3W)W = 3W²

since the area is 60, we have 60 = 3W²

divide both sides by 3, and W² = 20, and

W = sqrt(20) = 4.47 in

L = 3W= 3( 4.47 = 13.42 in