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?

Respuesta :

Answer:

L=6

w=3

Step-by-step 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 [tex]A= L(\frac{1}{2}L)) = \frac{1}{2}L^2[/tex]

If the area is 18 then substitute A =18.

[tex]A= \frac{1}{2}L^2\\ 18=\frac{1}{2}L^2\\ 36=L^2\\6,-6 = L[/tex]

Since length cannot be negative, then L=6.

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