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in the side of a square is decreased by 20% then what is the area decrease
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in the side of a square is decreased by 20% then what is the area decr...
Effect of Decreasing the Side of a Square by 20% on its Area
Definition
A square is a four-sided figure with all sides equal in length.
Formula for Area of a Square
The area of a square can be calculated by multiplying the length of one side by itself:
Area of Square = Side x Side
Effect of Decreasing the Side by 20%
When the length of one side of a square is decreased by 20%, it means that the new length is 80% of the original length:
New Side Length = 0.8 x Original Side Length
Formula for New Area of the Square
Using the formula for the area of a square and substituting the new side length, we get:
New Area of Square = (0.8 x Original Side Length) x (0.8 x Original Side Length) = 0.64 x Original Area of Square
Effect on Area of the Square
The new area of the square is 64% of the original area. This means that the area of the square has decreased by:
Area Decrease = Original Area of Square - New Area of Square
Area Decrease = Original Area of Square - (0.64 x Original Area of Square)
Area Decrease = 0.36 x Original Area of Square
Explanation
When the side of a square is decreased by 20%, the area of the square decreases by 36%. This is because the area of a square is proportional to the square of its side length. Therefore, when the side length is decreased by 20%, the area is decreased by 20% x 20% = 36%.
Community Answer
in the side of a square is decreased by 20% then what is the area decr...
Let s=100
Area=(100×100)=10000
now,S decreases by 20%
So,S=80
area=(80×80)=6400
Decrease in area=(10000-6400)
=3600
={(3600)×100}\10000 %
=36%
Area=(100×100)=10000
now,S decreases by 20%
So,S=80
area=(80×80)=6400
Decrease in area=(10000-6400)
=3600
={(3600)×100}\10000 %
=36%
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