The length of one pair of opposite sides of a square is reduced by 10% and that the other pair is increased by 10%. Compare the area of the new rectangle with the area of the original square.
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Answered by
1
Answer:
99:100
Step-by-step explanation:
let x be the length
10%of x =x/10
comparing area
11/40x*9/10x : x*x
=99:100
hope it helps
Answered by
2
Answer:
The length of one pair of opposite sides of a square is reduced by 10% and that other pair is increased by 10%. Compare the area of the original square.
Let the side of the square be a.
Therefore, increased length
= a + 10% of a = 11a/10
Decreased length
= a – 10% of a = 9a/10
Area of original square = a^2
Area of the new rectangle
Difference of the two areas
=> The area of the new rectangle is 1% less than the area of original square.
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