Answer:
The painting is 8.09 inches by 22.25 inches
Explanation:
The canvas is a rectangle with a length and width. The width is x. The length is 11/4 times the width or 11/4 x. The area is found by multiplying the two.
A = l*w = x * 11/4 x
This simplifies to 11/4(x^2).
We know the area is 180. Set it equal and solve for x.
180 = 11/4(x^2)
180*4 / 11 = x^2
720/11 = x^2
65.45 = x^2
8.09 = x
This is the width. Substitute it in 11/4 x to find the length.
11/4 (8.09) = 22.25