Question

After visiting the modern art museum, Jaylen was inspired to make an abstract drawing. He started by tracing a square with a perimeter of 60 centimeters. Then, he drew a rectangle. The perimeter of the square is 32 centimeters less than the perimeter of the rectangle.

Let r represent the perimeter of the rectangle. Which equation models the problem?
r–32=60
r+32=60
Solve this equation to find the perimeter of the rectangle.

Answer 1

a. r–32=60

perimeter = 92 cm

Explanation:

You want an equation that models the relation "the perimeter of the square is 32 cm less than the perimeter of a rectangle" when the perimeter of the square is 60 cm.

Translation

Let r represent the perimeter of the rectangle in centimeters. Then (r -32) is "32 cm less than the perimeter of a rectangle". That is said to be equal to the perimeter of the square, which is 60 cm.

r -32 = 60 . . . . . . . . choice A

Solution

Adding 32 to both sides of the equation gives ...

r = 92

The perimeter of the rectangle is 92 cm.

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