Each side of a square is increased by 10%. what is the percentage change of area?
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Answer:
21% increase of area
explanation:
Let's length of a square side is, X
area of a square= X²
increase length of square, X + 10% of X
X + 10/100
X= 11X/10
increase area of square,11X /10 × 11X /10= 121X²/100
increase in area=
increase length of square, X + 10% of X X + 10/100 X= 11X/10
increase area of square,11X /10 × 11X /10= 121X²/100
increase in area= 121X²/100 - X² =
( 121/100 -1 ) X² = 21/100 X²
percentage increase in area= 21/100 X²/ X² × 100
21× 100/100= 21%
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