Marisol is painting on a piece of canvas that has an area of 180 square inches. The length of the painting is 1 1/4 times the width. What are the dimensions of the painting?

To get the area, the formula is 2l x 2w = a

so the formula will be like this:

(x) (x+x/4) = 180

where,

x is the width

x+x/4 is the height

180 is the area

(x) (x+x/4) = 180

[4 (x) ][4 (x+x/4) ]=180 (4) multiply all sides by 4 to remove the fraction

(4x) (4x+x) = 720

(4x) (5x) = 720 simplify

20x^2=720 multiply 4x and 5x

20x^2=720 get the sq root of both sides

4.47x=26.83 divide by 4.47 to get the value of x

x=6

the width is 6 sq inches

the length is 7.5 sq inches

[ (2) (6) ][ (2) (7.5) ]=180

(12) (15) = 180

180=180