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

Question

asked Oct 5, 2021 210k views

1 Answer

Pronix · Answer 1 · 2021-10-12T01:50:23+0000

Answer:

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,

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