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One side of a rectangle is 3 inches shorter than the other side, and the perimeter is 54 inches. What are the dimensions of the rectangle?

Answer 1

Savannah Anderson

#12 xx 15# inches

Suppose the shorter sides of the rectangle are #t# inches. Then the longer sides are #t+3# inches and the perimeter is:

#2t + 2(t+3) = 4t+6#

Thus:

#4t+6 = 54#

Subtract #6# from both sides to get:

#4t=48#

Divide both sides by #4# to get:

#t=12#

So the shorter sides of the rectangle are #12# inches and the longer sides #12 + 3 = 15# inches.

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Answer 2

Genesis Allen

Let ( x ) represent the length of the longer side of the rectangle.
Then, the shorter side would be ( x - 3 ) inches.
The perimeter of a rectangle is given by the formula: ( P = 2l + 2w ).
Substituting the given information into the formula and solving for ( x ), we have:
( 54 = 2(x) + 2(x - 3) )
( 54 = 2x + 2x - 6 )
( 54 = 4x - 6 )
( 60 = 4x )
( x = 15 )
So, the longer side is 15 inches and the shorter side is ( 15 - 3 = 12 ) inches.

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Answer from HIX Tutor

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