The rectangle perimeter

Geometry Level 2

The rectangle above is made up of 12 congruent squares. Find the perimeter of the rectangle (in centimeter) if the area of the rectangle is equal to 432 square cm.


The answer is 84.

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1 solution

Marta Reece
May 3, 2017

If the side of one of the squares is a a , then the area of the rectangle is 12 a 2 = 432 12a^2=432 , so a = 6 a=6 .

Perimeter is 2 ( 4 a + 3 a ) = 14 a = 14 × 6 = 84 2(4a+3a)=14a=14\times6=\boxed{84}

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