Question

How do u do this with a guess check revise graph?

Answer 1

12 inches by 15 inches

Explanation:

Let

Width of the painting = x inches, then

Length of the painting
`=1(1)/(4)x` inches

The area of the painting:

`A=\\ \\=\text{Width}* \text{Length}=\\ \\=x* 1(1)/(4)x=\\ \\=(5)/(4)x^2\ in^2`

Hence,

`(5)/(4)x^2=180\\ \\x^2=(4)/(5)* 180=4* 36=144\\ \\x=12\ inches\\ \\\text{Width}=12\ inches\\ \\\text{Length}=(5)/(4)* 12=15\ inches`