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  ${\mathrm{cm}}^2$

Anitha, Raghav, and Preeti drew these three different figures as shown below.

Which of these figures has the perimeter, $28 \mathrm{cm}$?

A rectangular piece of glass slipped from Radhika's hand and it broke into two pieces, part $\left(a\right)$ and part $\left(b\right)$ as shown below. The points $A$ and $B$ were the midpoints of their respective sides of the glass

Which of these is true about the perimeter of the broken parts?

Aathira took a closed shape made of a thin steel wire, cut and reshaped it into a triangle. Later through a similar process, she cut the triangle and reshaped the wire into a rectangle, as shown below.

What can we say about the area and perimeter of the three shapes?

Pallavi took two identical squares of perimeter $40 \mathrm{cm}$ and then she joined them along one of its sides without gap or overlap to form a rectangle. 

What is the perimeter of the rectangle formed?

Ritu took a piece of cardboard in the shape of a right-angled triangle (shape $1)$ and then removed a piece of cardboard from it, as shown below (shape $2)$

Which shape has the greater perimeter?

Rashmi drew a triangle on a grid sheet, as shown below.  The area of each small square in the grid sheet is $1 {\mathrm{cm}}^2$. 

What is the area of the triangle (approximately)?

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?