difference of two adjacent side of a rectangle is 4 cm. if the perimeter of a rectangle is 48 cm then find its area
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Answer:
Area of rectangle=2(l+b)
=84
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Given that : Difference of two adjacent side of a rectangle is 4 cm.
Then, according to the question :
x - y = 4 => x = y+4 ....(1)
Here, x = Length and y = Breadth of the rectangle.
Now, according to the question :
2(x+y) = 48
=> 2[(y+4)+y] = 48
=> 2(2y+4) = 48
=> 2y+4 = 24
=> 2y = 20
=> y = 10
On putting the value of y in equation (1) :
x = 10+4
=> x = 14
Now, Area of rectangle = Length×Breadth
=> x × y
=> 14×10
=> 140 cm²
So, the area of Rectangle will be 140cm²
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