## Marisol is panting on a piece of canvas that has an area of 180 square inches the length of the painting is 1 and 1 fourth times the width w

Question

Marisol is panting on a piece of canvas that has an area of 180 square inches the length of the painting is 1 and 1 fourth times the width what are the dimensions of the painting?

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2 weeks 2021-09-10T09:00:13+00:00 1 Answer 0

1. Answer: Length = 15 inches

Width = 12 inches

Step-by-step explanation:

The painting is rectangular.

Let L represent the length of the painting.

Let W represent the width of the painting.

Area of a rectangle = LW

Marisol is panting on a piece of canvas that has an area of 180 square inches. It means that

LW = 180- – – – – – – – – – -1

The length of the painting is 1 and 1 fourth times the width. It means that

L = 1.25W

Substituting L = 1.25W into equation 1, it becomes

W(1.25W) = 180

1.25W² = 180

W² = 180/1.25

W² = 144

W = √144

W = 12 inches

L = 1.25W = 1.25 × 12

L = 15 inches