Some 2D Shapes and Their Areas

Q.

If the area of a square plate is 100 m², then what is the side length of the square plate and its perimeter respectively?

1. 10 m, 30 m

2. 5 m, 40 m

3. 10 m, 40 m

4. 10 m, 20 m

Q. The height of the trapezium having area as 36cm2 and parallel side as 10 cm and 8 cm is

1. 2 cm
2. 4 cm
3. 6 cm
4. 8 cm

Q.

If the side of a square is "a”, the area and perimeter can be found by using the formulae,

1. a², 4a

2. a², 2a

3. 2a², 4a

4. 2a², 2a

Q. Find area of a trapezium whose parallel sides measure 58 cm and 42 cm, and the two equal sides measure 17 cm.

1. 750

Q. How do I find the perimeter of a square from the area of the square?

Q. Lengths of the diagonals of a rhombus are 10 units and (7x + 3) units. If its area is $120c{m}^2$, find x.

1. 3

Q. The area of the given figure is equal to ___ $c{m}^2$.

1. 55

Q.

If area of a square plate is 100 m², then what is the side length of the square plate and its perimeter respectively?

1. 10 m, 30 m

2. 5 m, 40 m

3. 10 m, 40 m

4. 10 m, 20 m

Q.

There is a rectangular park whose length is 20 m and width is 10 m. What is the length of fence surrounding it?

1. 20 m

2. 40 m

3. 60 m

4. 30 m

Q. The perimeter of a regular hexagon of side 5 cm is equal to 30 cm

1. True
2. False

Q.

If the length of a rectangle is "l” and width is "b”, then the perimeter of the rectangle will be

1. 2(l+b)

2. l+b

3. 2l+b

4. l+2b

Q. A square of sidelength a, a rectangle of length l and width w have the same exact area. Moreover, the diagonal of the rectangle is twice as long as the diagonal of the square. Then, what could be said about the perimeter P(r) of the rectangle compared to the perimeter P(s) of the square?

1. $\frac{P\left(r\right)}{P\left(s\right)}=\sqrt{2}$
2. $\frac{P\left(r\right)}{P\left(s\right)}=\sqrt{\frac{2}{3}}$
3. $\frac{P\left(r\right)}{P\left(s\right)}=\sqrt{\frac{3}{2}}$
4. $\frac{P\left(r\right)}{P\left(s\right)}=\sqrt{\frac{5}{2}}$

Q.

If the side of a square is $a$, then area and perimeter can be found by using the formulae _____.

1. $a^2$, 4a

2. $a^2$, 2a

3. 2$a^2$, 4a

4. 2$a^2$, 2a

Q.

Which of the following formulae can be used to find the area and the perimeter of a square? (Given Side length = 'a')

1. a², 4a

2. a², 2a

3. 2a², 4a

4. 2a², 2a

Q.

If the side of a square is $a$, then area and perimeter can be found by using the formulae _____.

1. $a^2$, 4a

2. $a^2$, 2a

3. 2$a^2$, 4a

4. 2$a^2$, 2a

Q. The perimeter of the rectangle is 36 cm. If its length is 10 cm, then its breadth is 6 cm.

1. False
2. True

Q.

Find the area covered by a square which has a diagonal of length of $16\sqrt{2}$ meters.

1. 256 m²

2. 16 m²

3. None of the above

4. 32 m²

Q. If the perimeter of a square is 48 cm, then its side is 12 cm.

1. False
2. True

Q. Find the area of shaded portion.


[3 marks]

Q. The diagonals of a rhombus are in the ratio 2:3. Find the length of smaller diagonal, if the area of the rhombus is 27 $c{m}^2.$

1. 4 cm
2. 6 cm
3. 3 cm
4. 8 cm