Question

16. If the side of a square is decreased
by 20%. then what will be the
percentage decrease in its area?
INET & ELAZ. 2007-08
b) 10%
a) 4096
(c) 36%​

Answer 1

Step-by-step explanation:

answer is 36%

Step-by-step explanation:

Let the side of square be x

• area = x²

25.0

Therefore, decreased side = x- 20% of x = 80x/100

area = 6400x/ 10000 = 64x²/100

now.

decrease in area = x²-64x² / 100

= 36x²/100

Hence, required percentage = 36x²/100 x100x1/x²

= 36%

Answer 2

Answer:

Let Side of Square be X

Now 20% of X = 20/100 x X

= 1/5 X

Let the new side of Square be A

A = X - 1/5X

= 4/5 X

Area of Square with side X = X²

New area = 16/25X²

So Decrease in Area

= X² - 16/25X²

= 9/25X²

Now the percentage

= (9/25X² ÷ X²) x 100

= 36% (ans)

Step-by-step explanation:

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