Question

The length and breadth of a rectangular garden are 95 m and 74 m respectively. A path 4m wide is constructed outside and around the garden. Find the area of the path​

Answer 1

The area of the path is 1416 m²

Step-by-step explanation:

Given that, the length of the garden is 95 m and the breadth is 74 m. Then the area of the rectangular garden is

A₁ = 95 × 74 m²

= 7030 m²

When a path is constructed outside and around the garden, the length of the garden together with the path will be (95 + 2 × 4) m = 103 m and the breadth of the garden together with the path will be (74 + 2 × 4) m = 82 m.

Therefore the area of the garden together with the path is

A₂ = 103 × 82 m²

= 8446 m²

Hence the area of the path is

= A₂ - A₁

= (8446 - 7030) m²

= 1416 m²

Answer 2

Answer:

The length and breadth of a rectangular garden are 95 m and 74 m respectively. A path 4m wide is constructed outside and around the garden. The area of the path​ is 1416 m²

Step-by-step explanation:

To solve this question, we need to visualize two rectangles.

We have the outer rectangle and the inner rectangle.

We need to get the area of the two rectangles as follows:

The Outer Rectangle

Length = 95 m + (2 × 4 m) = 103 m

Breadth = 74 m + 8 m = 82 m

Area = Length ×× Breadth

= 103 × 82 = 8446 m²

The Inner Rectangle

Length = 95 m

Breadth = 74 m

The area is given by:

Area = 74 × 95 = 7030 m²

The area of the path is given by:

Area = Area of outer rectangle - Area of inner rectangle

= 8446 m² - 7030 m² = 1416 m²