Exercise

Archana drew a rectangle of length is $40 \mathrm{cm}$ on a grid paper and noted its area. She then reduced the width by $5 \mathrm{cm}$. 

What is the reduction in the area?

Mukul took a square grid and shaded grids to get the shape of letter $\mathrm{T}$.  Its area is $72 {\mathrm{cm}}^2$.

The perimeter of the shape shaded region is _____ $\mathrm{cm}$.

Javed drew a rectangle and shaded a part of it as shown below.

The area of the shaded region is _____ ${\mathrm{cm}}^2$

The cost of paving tiles in a room is $₹2160$. The cost of paving the tiles per square metre is $₹45$.  The length of the room is $8 \mathrm{m}$.

The breadth of the room is _____ $\mathrm{m}$.

Meera put a border around her rectangular bedsheet of length $2 \mathrm{m}$ and breadth $1 \mathrm{m} 60 \mathrm{cm}$. The cost border is $₹100$ per metre.

The total cost of border required is $₹$_____

A rectangular piece of land of dimensions $40 \mathrm{m} \times 60 \mathrm{m}$ is to be fenced $3$ rows of wire. 

What is the length of wire needed?

Raj has a square board of sides $10 \mathrm{cm}$. He removed two rectangular pieces from both sides, leaving a $2 \mathrm{cm}$ strip in the middle, to get the shape shown below.

The perimeter of the above shape is _____ $\mathrm{cm}$.

Alex took a rectangular sticker of area $50 {\mathrm{cm}}^2$ and a triangular sticker of area $14 {\mathrm{cm}}^2$ and joined them as shown below. The height of the triangle and the width of the rectangle are equal. Half the area of the triangle overlaps with the rectangle when the two shapes were joined.

The area of the resultant shape is _____ ${\mathrm{cm}}^2$