A rectangle is 14 cm long and 10 cm wide. If the length is reduced by x cm and its width is increased also by x cm so as to make it a square then its area changes by?
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Answer:
x = 2
initial area = 140
changing area = 144
change = 4
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To make the rectangle a square firstly
We can know that it’s length =breadth
According to the question
14-x=10+x
-x-x=10-14
-2x=-4
x=2
Thus the value of x is 2 cm
Now from any equation :
14-x or 10+x
We will get the value if side of the square=12cm
Now area of square =Side x Side
=12x12=144cm^2
Now area of rectangle :
=2(l+b)
=2(14+10)
=2(24)
=48 cm^2
Now finding difference
144 - 48 = 96 cm^2
Hope this will help you:)
We can know that it’s length =breadth
According to the question
14-x=10+x
-x-x=10-14
-2x=-4
x=2
Thus the value of x is 2 cm
Now from any equation :
14-x or 10+x
We will get the value if side of the square=12cm
Now area of square =Side x Side
=12x12=144cm^2
Now area of rectangle :
=2(l+b)
=2(14+10)
=2(24)
=48 cm^2
Now finding difference
144 - 48 = 96 cm^2
Hope this will help you:)
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