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One side of a rectangle is 2 cm longer than the other. The perimeter of the rectangle (that is, the distance all the way around the edge) is 24cm.

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1 Answer

Hi Kath;
First side...x
Second side...x+2
The rectangle has four sides, two width and two length.
24=2[x+(x+2)]
24=2(x+x+2)
24=2(2x+2)
24=4x+4
Let's subtract 4 from both sides as we isolate x...
-4+24=4x+4-4
20=4x
Let's divide both sides by 4...
20/4=4x/4
5=x
5+2=x+2
7=x+2
 
Let's check our work...
First side...5
Second side...5+2=7
24=2(5+7)
24=2(12)
24=24