Judith McQueen

2021-12-25

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

Terry Ray

Expert

Step 1: Choose two numbers that have a product of 180

Our guess is 12 inches
Convert mixed numbers to improper fraction with using rule:

$a\frac{b}{c}=\frac{a\cdot c+b}{c}$

So we have
$1\frac{1}{4}=\frac{1\cdot 4+1}{4}=\frac{5}{4}$
$1\frac{1}{4}×12=\frac{5}{4}×12$
$=\frac{5×12}{4×1}$
$=\frac{60}{4×1}$
$=\frac{60}{4}$ $=12$
Our guess is correct.
12 inches and 15 inches.

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