Question

a rectangle 25 metre long and 16 metre wide from its four quadrants of radius 3.5 metre have been cut .find the area of the remaining part​

Answer 1

To Find:-

• The area of remaining part .....(?)

Given:-

• Length of the rectangle = 25m
• Breadth of the rectangle = 16m
• 3.5m has been cut

Solution:-

Let's first find the area of the rectangle

Formula:-

$\boxed{ \sf{Area \: of \: rectangle = Lenght \times Breadth}}$

∴ 25m × 16m

= 400m²

Now, the area of 4 quadrants

We know that, 4 quadrants = 1 circle

∴ Formula of Area of circle:-

Area of circle = πr² ......( π = 22/7 )

∴ Area = π( 3.5 )²

$= \dfrac{22}{7} \times 12.25$

$= 22 \times 1.75$

$= 38.5 {m}^{2}$

Now, Let's find the Remaining area:-

Remaining area = 400 - 38.5

= 361.5 m²

Required Answer:-

• The area of the remaining part is 316.5 m²