Question:
The length of the rectangle is 5cm more than the breadth. If the perimeter is 38 cm, find it's area.
Answer:
Let breadth of the rectangle = b
So, length of the rectangle = b + 5
Given, perimeter of the rectangle = 38
=> 2*(length + breadth) = 38
=> 2*(b + 5 + b) = 38
=> 2*(2b + 5) = 38
=> 4b + 10 = 38
=> 4b = 38 - 10
=> 4b = 28
=> b = 28/4
=> b = 7
So, breadth of the rectangle = b = 7 cm
and length of the rectangle = b + 5 = 7 + 5 = 12 cm
Now, area of the rectangle = length * breadth
= 12 * 7
= 84 cm2
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