Question

If sides of a square are decreased by 37% .find the percentage in its area

Answer 1

For square
Area = Side²

ΔA/A × 100 = 2∆S/S × 100
= 2 × 37%
= 74%

∴ Percentage increase in Area is 74%

Answer 2

Answer:

Area would get decreased by 60%.

Step-by-step explanation:

Given : If sides of a square are decreased by 37% .

To find : The percentage in its area?

Solution :

Let side of square is 100 units.

Area of square is,

$A_1=100\times 100 =10000 \text{ units}^2$

Now if side is decreased by 37%,

Side of square becomes 100 - 37 = 63 units

Now area of square becomes,

$A_2=63\times 63 =3969 \text{ units}^2$

So, change in area is

$C=\frac{A_1-A_2}{A_1}$

$C=\frac{10000-3969}{10000}$

$C=\frac{6031}{10000}$

$C=0.6031$

Into percentage,

$C\%=0.6031\times 100=60.31\%$

Therefore, when side of square is decreased by 37%, Area would get decreased by 60%.