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  • 09-12-2014
  • Mathematics
Answered

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

Verified Answer :

SlowZasob
SlowZasob SlowZasob
  • 17-12-2014

Formula for the rectangle area is a b, In this case we know that:

a
b = 180
a (width) = unknown
b (length) = 1 1/4a

We can write it down as:

a 1 1/4  a = 180
a² 1 1/4 = 180                   / ÷ 1 1/4 (both sides)
a² = 144                             / square root (both sides)
a = 12

Doublecheck:

a = 12
b = 1 1/4
12 = 15
a b = 12 15 = 180 (so it's correct)

Answer: The dimensions of the painting are 12 x 15 inches.

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