The area on a wall covered by a rectangular poster is 270 square inches. The length of the poster is 1.2 times longer than the width of the poster. What are the dimensions of the poster?

Length = 18 in

Width = 15 in

Step-by-step explanation:

We have that the area of a rectangle is:

A = L * W

but L = 1.2 * W

A = 1.2 * (W ^ 2)

1.2 * (W ^ 2) = 270

(W ^ 2) = 270 / 1.2

W ^ 2 = 225

Therefore, W is equal to:

W = 225 ^ (1/2)

W = + / - 15, but only + 15 makes sense

W = 15

Now for L:

L = 1.2 * 15

L = 18

A = 15 * 18 = 270 in ^ 2