Question

if one side of a square is decreased by 5%, it's area decreases by​

Answer 1

Answer:

9.75 %Decresement

Step-by-step explanation:

Let the side be 100 Cm

Its area=100×100=10000 Cm

Now the new area

Side 5% decrease

Side 95 cm

Area=95×95=9075

Difference =10000-9075=975

975÷10000=0.0975

0.0975×100=9.75%

Answer 2

Step-by-step explanation:

let the side of square is x

then, it's area is (side)² = x²

now, new side of square is x -(5% of x)

= x - (5x/100)

= x - (x/20)

= 19x/20

so, it's area is (19x/20)²

= 361x²/400

so, let new area is a% less than before

361x²/400 = (a/100)(x²)

361/4 = a

so, a = 90.25

so, it's area is decreased by 9.75%