# A 10 m long and 4 m wide rectangular lawn is in front of a house. Along its three sides a 50 cm wide flower bed is there as shown in Fig. 9.58. Find the area of the remaining portion.

**Solution:**

Given, a rectangular lawn of dimensions 10 m long and 4 m wide is in front of a house.

The three sides of the lawn is covered by a flower bed 50 cm wide.

We have to find the remaining portion of the lawn.

__Area of rectangle__ = length × breadth

Considering entire lawn,

Length = 10 m

Breadth = 4 m

Area of rectangular lawn = 10(4)

= 40 m²

Considering flower bed on all three sides,

Flower bed 1,

Length = 4 m - 50 cm

We know, 1 m = 100 cm

So, length = 400 - 50 = 350 cm

Length in m = 350/100 = 3.5 m

Breadth = 50 cm

Breadth in m = 50/100 = 0.5 m

Area of flower bed 1 = 3.5 × 0.5

= 1.75 m²

Flower bed 2,

Length = 10 m

Breadth = 50 cm

Breadth in m = 50/100 = 0.5 m

Area of flower bed 2 = 10 × 0.5

= 5 m²

Flower bed 3,

Length = 4 m - 50 cm

We know, 1 m = 100 cm

So, length = 400 - 50 = 350 cm

Length in m = 350/100 = 3.5 m

Breadth = 50 cm

Breadth in m = 50/100 = 0.5 m

Area of flower bed 3 = 3.5 × 0.5

= 1.75 m²

Total area of flower bed = area of flower bed 1 + area of flower bed 2 + area of flower bed 3

= 1.75 + 5 + 1.75

= 8.5 m²

Area of the remaining portion of the lawn = area of entire lawn - area of flower bed

= 40 - 8.5

= 31.5 m²

Therefore, area of remaining portion is 31.5 m²

**✦ Try This: **A tank 10m × 5m × 6m is full of water.The amount of water taken out to reduce the water level by one metre is

**☛ Also Check: **NCERT Solutions for Class 7 Maths Chapter 11

**NCERT Exemplar Class 7 Maths Chapter 9 Problem 114**

## A 10 m long and 4 m wide rectangular lawn is in front of a house. Along its three sides a 50 cm wide flower bed is there as shown in Fig. 9.58. Find the area of the remaining portion.

**Summary:**

A 10 m long and 4 m wide rectangular lawn is in front of a house. Along its three sides a 50 cm wide flower bed is there as shown in Fig. 9.58. The area of the remaining portion is 31.5 m²

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