The ratio between the perimeter and the breadth of the rectangle is 5 is to 1 if the area of rectangular is 216 square cm what is the length of the rectangular
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Let perimeter be 5x
Breadth be 1x
Perimeter =5x
2(l+b)=5x
2(l+1x)=5x
2l+2x=5x
2l=5x-2x
L=3x/2
Now,
Area =216
L *b =216
3x/2 *1x=216cm square
3x square/2 =216 square
3X square=432 square
X square=432/3 square
X square= 144 square
X=√144cm square
X =12cm
Breadth be 1x
Perimeter =5x
2(l+b)=5x
2(l+1x)=5x
2l+2x=5x
2l=5x-2x
L=3x/2
Now,
Area =216
L *b =216
3x/2 *1x=216cm square
3x square/2 =216 square
3X square=432 square
X square=432/3 square
X square= 144 square
X=√144cm square
X =12cm
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