Marisol is painting on a canvas that has an area of 180 square inches. The length of the painting is 11/4 times the width. What are the dimensions ofthe painting

The painting is 8.09 inches by 22.25 inches

Step-by-step 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