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Question

if the perimeter of a rectangle is 24 units and length exceeds the breadth by 4 units.find the are of the rectangle.

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Solution

Let the breadth be x units.
then , length= 4+x

According to Question -

2(x+x+4) = 24

or, 2(2x+4) = 24

or, 4x+8 = 24

or, 4x = 24-8

or, 4x = 16

or, x = 16/4

or, x = 4

Therefore, breadth is 4 and length is 4+4= 8

Area of rectangle = l×b
= 4×8 sq.units
= 32sq.unit


Answer) length = 8units and breadth = 4units
and area = 32sq. unit


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