Question

The length of the rectangle is 4cm more than its breadth. If its perimeter is 36cm find its area.


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Answer 1

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Let the breadth of the rectangle be x cm.

Then its length is2 x+4 cm.

According to the problem,

or, 2x+4=18

or, x=7.

So breadth of the rectangle is 7 cm and length is 11 cm.

So the area of the rectangle is 7×11=77 cm

2

Answer 2

Answer:

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$\rm{Let\: the\: breadth\: of \:the\: rectangle\: be \:x\: cm.}$

Then its length is x+4 cm.

According to the problem,

$\sf{2{x+x+4}=36}$

$\sf{or \:2x+4=18}$

$\sf{or \:x=7.}$

So breadth of the rectangle is 7 cm and length is 11 cm.

So the area of the rectangle is 7×11=77 cm²