The dimensions of a plot are 200 m × 150 m. A builder builds 3 roads which are 3 m wide along the length on either side and one in the middle. On either side of the middle road he builds houses to sell. How much area did he get for building the houses?

Solution:

It is given that

Dimension of a plot = 200 m × 150 m

Width of road = 3 m

We know that

Total area available for houses = Area of total plot - Area of 3 roads

Substituting the values

= (200 × 150) - 3 × (3 × 200)

By further calculation

= 30000 - 1800

= 28200 m²

Therefore, the area he got for building the houses is 28200 m².

✦ Try This: The dimensions of a plot are 300 m × 250 m. A builder builds 4 roads which are 4 m wide along the length on either side and one in the middle. On either side of the middle road he builds houses to sell. How much area did he get for building the houses?

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

NCERT Exemplar Class 7 Maths Chapter 9 Problem 105

The dimensions of a plot are 200 m × 150 m. A builder builds 3 roads which are 3 m wide along the length on either side and one in the middle. On either side of the middle road he builds houses to sell. How much area did he get for building the houses.

Summary:

The dimensions of a plot are 200 m × 150 m. A builder builds 3 roads which are 3 m wide along the length on either side and one in the middle. On either side of the middle road he builds houses to sell. He got 28200 m² area for building the houses.

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