Question

In the given figure,find the area of path (shaded portion)which is 2 meter wide all around.

Answer 1

area will be 384m^ 2.

Answer 2

Given,

The figure with a shaded area.

To find,

The area of the shaded portion.

Solution,

The area of the shaded portion will be 384 m².

We can easily solve this problem by following the given steps.

According to the question,

We have a large rectangle with a length being 60 m and a breadth being 40 m.

Area of outer rectangle = Length × Breadth

A1 = (60×40) m²

A1 = 2400 m²

Now, to find the area of the inner rectangle, first, we will find their length and breadth.

Length of inner rectangle = Length of the outer rectangle -(4) m

L2 = (60-4) m

L2 = 56 m

The breadth of inner rectangle = Breadth of the outer rectangle - 4 m

B2 = (40-4) m

B2 = 36 m

Area of the inner rectangle = L2 × B2

A2 = (56×36) m²

A2 = 2016 m²

Area of the shaded portion = A1 - A2

A = (2400-2016) m²

A = 384 m²

Hence, the area of the shaded portion is 384 m².