Question

the width of a rectangle is half as long as the length. The rectangle has an area of 18 square feet. what are the length and width of the rectangle?

Answer 1

L=6

w=3

Explanation:

To calculate an area of a rectangle, use the formula A=L*w. We know the width is half as long as the length. So w = 1/2 L.

So the area is
`A= L((1)/(2)L)) = (1)/(2)L^2`

If the area is 18 then substitute A =18.

`A= (1)/(2)L^2\\ 18=(1)/(2)L^2\\ 36=L^2\\6,-6 = L`

Since length cannot be negative, then L=6.

The width is 1/2 L so w = 1/2 (6) = 3.