# NCERT Class 8 Mathematics Solutions: Chapter 11 –Mensuration Exercise 11.1 Part 1

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1. A square and a rectangular field with measurements as given in the figure have the same perimeter. Which field has a larger area?

Answer:

Given:

The side of a square

And the length of rectangular field

According to question,

Perimeter of rectangular field Perimeter of square field

Now,

Area of square field

And Area of Rectangular field length breadth

2. Mrs. Kaushik has a square plot with the measurement as shown in the figure. She wants to construct a house in the middle of the plot. A garden is developed around the house. Find the total cost of developing a garden around the house at the rate of .

Answer:

Side of a square plot

Area of square plot

Length of the house

Breadth of the house

Area of the house

Area of garden Area of square plot Area of house

cost of developing the garden per

Cost of developing the garden

Hence, total cost of developing a garden around is .