Question

Each side of a square is increased by 10%. what is the percentage change of area?​

Answer 1

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Answer 2

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%