Question

The height of a door is 1.5 feet longer than its width, and its front area is 1516.5 square feet. Find the width and height of the door.

Answer 1

For an exact answer the width would be the square root of 1011 and the length would be 1.5x the square root of 1011.

Explanation:

A = lw

1516.5 = w(1.5)w

1516.5 = 1.5w^2 Divide both sides by 1.5

1011 = w^2 Take the square root of each side

Square root of 1011 = w.