the side of a square increase in length by 10 % find the increasing area please give step by step answer
Answers
Step-by-step explanation:
let the side of sq. be a
area = (side)²
area= a²
on increaseing side by 10 %
new side= a+a×10/100
= a+a/10
= 11a/10
new area = (11a/10)²
= 121a²/100
increased area = (121a²/100) - a²
= (121a²-100a²)/100
= 21a²/100
increased area %=(increase ar./old ar.)100
= (21a²/100/a²)×100
= (21a²/100a²)×100
=(21/100) ×100
= 21%
hence increase area is 21%
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Answer:
Hence, area of square will increase by 21%
Step-by-step explanation:
Let the side of square = s
Area of square = s²
Given that side of square is increased by 10%.
side by increasing 10% = ( 1 + 1/100 )
new side of square = 1.1s
Area of new square = ( 1.1s )²
= 1.21s²
Total increase area = New square area - area of square
= 1.21s² - s²
= 0.21s²
Now, percentage of increased area
=( 0.21s²/ s² ) × 100
= 0.21/100
= 21%
Hence, area of square will increase by 21% .
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