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
