Question

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

Answer 1

The dimensions of the painting are 12 inches by 15 inches.

Step-by-step explanation:

To find the dimensions of the painting, let's first let the width be x inches. According to the problem, the length is 1 1/4 times the width, which means it is (5/4)x inches. We can set up an equation to represent the area of the painting: (5/4)x * x = 180. Simplifying this equation, we have 5x^2/4 = 180. Multiplying both sides of the equation by 4/5, we get x^2 = 144. Taking the square root of both sides, we find that x = 12.

The width of the painting is 12 inches. To find the length, we can substitute this value into the equation: length = (5/4)(12) = 15 inches.

Therefore, the dimensions of the painting are 12 inches by 15 inches.

Answer 2

let x be a width
1 1/4x be the length (or it can be 5/4 i prefer this one)

formula for rectangle
lxw=a
5x/4(x)=180
4[5x^2/4=180]4
5x^2=720
x^2=144
x=12

so width is 12 and length is
5x/4
5(12)/4
60/4
=15