S Purkayastha Solutions for Chapter: Perimeter and Area, Exercise 2: Check Point

Calculate the area of the shaded region in each of the figures given below.

Calculate the area of the shaded region in each of the figures given below.

Calculate the area of the shaded region in each of the figures given below.

Through a rectangular field of length $90 \text{m}$ and breadth $60 \text{m}$, two roads are constructed which are parallel to the sides and cut each other at right angles through the centre of the field. If the width of the road is $3\text{ m}$, find 

(i) the area covered by the roads.

Through a rectangular field of length $90 \text{m}$ and breadth $60 \text{m}$, two roads are constructed which are parallel to the sides and cut each other at right angles through the centre of the field. If the width of the road is $3\text{ m}$, find 

(ii) the cost of constructing the roads at the rate of $₹110{\text{ per m}}^2$.

A poster of size $10 \text{cm}$ by $8 \text{cm}$ is pasted on a sheet of cardboard such that there is a margin of width $1.75 \text{cm}$ along each side of the poster. Find

(i) the total area of the margin.

A poster of size $10 \text{cm}$ by $8 \text{cm}$ is pasted on a sheet of cardboard such that there is a margin of width $1.75 \text{cm}$ along each side of the poster. Find

(ii) the cost of cardboard used at the rate of $₹0.60{\text{ per cm}}^2$.

A school has a hall which is $22 \text{m}$ long and $15.5\text{ m}$ broad. A carpet laid inside the hall leaving all around a margin of $75 \text{cm}$ from the walls. Find the area of the carpet and the area of the strip left uncovered. If the width of the carpet is $82 \text{cm}$, find the cost at the rate of $₹18$ per metre.