Area of a square is increased by 44%. By what % is its diagonal increased ?
1) 20
2)23
3) 26
4) 32
Answers
Answered by
0
Answer:
the diagonal increased is 20%.
Answered by
0
Answer:
20%
Step-by-step explanation:
area of square is = A = a^(2)
original diagonal =√(2)a
new area = A ' = X^(2) =( 1 + (44/ 100)) A
X ^(2) = 1.44 a ^(2)
X = 1.2 a
new diagonal =√(2 ) X =√(2) 1.2 a
change in diagonal length = root (2) a [ 1.2 - 1 ]
= root(2) × 0.2a
so percentage increase
[(root 2 × 0.2 a)/ ( root2 a ) ] × 100 = 20 %
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