Thursday, June 11, 2015

What is the perimeter of Figure B?

The small boxes in Figures A and B at the right are congruent squares. The perimeter of Figure A is 48 inches. What is the perimeter of Figure B? (The perimeter of a figure is the distance around it.) 

Let S be the side of the square in inches.

Perimeter of Figure A = 5S+5S+1S+5S = 16S = 48 inches

One side of the square S = 48/3 = 16 inches

Perimeter of Figure B = 3S+3S+3S+4S+3S+4S = 20S = 20 *3 = 60

Perimeter of Figure B is 60 inches.



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