Area by Comparing Shapes

Q.

A rectangle is formed by keeping two squares next to each other. The length of the sides of each square is 10 cm.

What is the area of the rectangle formed by these two squares?

1. $100c{m}^2$
2. $200c{m}^2$
3. $300c{m}^2$
4. $400c{m}^2$

Q. If the area of a triangle is 20 sq cm, then the area of the rectangle formed by joining two such triangles is .

1. 20 sq cm
2. 40 sq cm
3. 30 sq cm

Q. Squares each of area 2 sq cm are joined to form rectangles. Match the rectangles formed to their areas.

1. 16 sq cm
2. 32 sq cm
3. 48 sq cm

Q.

A square tile has a diagonal of size $32cm.$ the area of the tile is

Q. Find the area of the given shapes. Identify the shape that has maximum area.​

Q.
If each grid occupies 1 sq cm, then the area of the figure is nearly 9 sq cm.

1. False
2. True

Q. A triangle of area 12 sq cm is placed on top of a square of area 24 sq cm.
The area of the resulting shape is .

1. 36 sq cm
2. 40 sq cm
3. 24 sq cm

Q. Calculate the area of this figure.
Assumption : 1 square = 1 ${cm}^2$

1. 7 ${cm}^2$
2. 8 ${cm}^2$
3. 4 ${cm}^2$
4. 5 ${cm}^2$

Q. Calculate the value of A + B from the given area model:

1. 2532
2. 2502
3. 2512
4. 2522

Q. If two sides of triangle are 18 cm, 10cm and the perimeter is 42 cm. Then the 3rd side and area of the triangle are

1. 14 cm
2. 16 cm
3. $21\sqrt{11}{cm}^2$
4. $28\sqrt{11}{cm}^2$

Q.

Find the area of square with side $16.75$m .

Q.

In which of the following cases do we need to calculate area ?

1. To find how many tiles are needed to cover the floor of a room.
2. To find the amount of water in the lake.
3. To find the cost of fencing a ground.
4. To find the amount of paint in a container.

Q. 25 squares of area 1 sq cm each are joined to form a closed geometric figure. What is the area of the new figure formed?

1. 20 sq cm
2. 30 sq cm
3. 28 sq cm
4. 25 sq cm

Q. A diagonal divides a rectangle into two triangles. The area of each triangle is one-fourth of the area of the rectangle.

1. True
2. False

Q. Two squares of sides 4 cm and 6 cm are joined together. Find the total area.

1. $36{\text{cm}}^2$
2. $16{\text{cm}}^2$
3. $46{\text{cm}}^2$
4. $52{\text{cm}}^2$

Q. What is the area of the given triangular grass field, if the area of the rectangular ground is 𝟑𝟔 𝐬𝐪 𝐦?


(1 Mark)

A. 16 sq. m
B. 18 sq. m
C. 20 sq. m
D. 22 sq. m

Q. As the number of grids in a grid paper is increased, so is the accuracy with which the area of an irregular figure is determined.

1. True
2. False

Q.

Work with a partner. Find the side length of the square. Explain your method.

Q. The area of the following figure is sq ft.
\begin{tabular}{r|l|l|l|} \multicolumn{1}{c}{\( ft \)} \\ \hline & \\ \hline & & & \\ \hline & & & \\ \hline & & & \\ \hline \end{tabular}

Q. Calculate the value of A + B from the given area model:

1. 2532
2. 2502
3. 2512
4. 2522

Q.

In the figure given below, PQSR is a square. Find the area of the unshaded region.

1. $100c{m}^2$

2. $200c{m}^2$

3. $300c{m}^2$

4. $400c{m}^2$

Q. Decomposing shapes into smaller polygons like triangles and rectangles helps us to calculate their areas easily.

1. True
2. False