Question

4. The length of a garden is 200 m and its area is 3 hectares 20 ares. What is une
breadth of the garden?
(1) 320 m (2) 240 m (3) 180 m (4) 160 m​

Answer 1

Answer:

• The required breadth of the garden is 160 m.

Step-by-step explanation:

We have been given some data of a garden which are given below.

• Length of garden = 200 m
• Area of garden = 3 hectares 20 ares

Change hectares into ares:

1 hectares = 100 areas

∴ 3 hectares = 3 x 100 ares

∴ 3 hectares = 300 ares

• Total area of garden = (300 + 20) ares
• Total area of garden = 320 ares

Change ares into metre:

1 ares = 100 m²

∴ 320 ares = 100 * 320 m²

∴ 320 ares = 32,000 m²

Here, We have to find the value of breadth of the garden. We will use a formula to find the breadth of garden.

• Area of garden = Length * Breadth

Area of garden = Length * Breadth

32000 = 200 * Breadth m²

Breadth = 32000/200 m²

Breadth = 160 m

• Therefore, the required breadth of the garden is 160 m.

Hence, Option 4 is the correct answer.

Answer 2

Solution:

Given:

=> Length of Garden = 200m

=> Area of garden = 3 hectares 20 ares.

To Find:

=> Breadth of garden.

Formula used:

=> Area of garden = Length × Breadth

First we will change 3 hectares 20 ares in m².

So, as we know 1 hectares = 100 ares

=> 3 hectares = 300 ares

=> Total area = 300 ares + 20 ares

                      = 320 ares.

As we know 1 acres = 100 m²

So, 320 acres = 100 × 320

                       = 32000 m²

So, Area of garden = 32000 m²

Area of garden = Length × Breadth

=> 32000 m² = 200 × Breadth

=> Breadth = 32000/200

=> Breadth = 160 m.

Option 4). is correct.