**CBSE Class 7 Maths – MCQ and Online Tests – Unit 11 – Perimeter and Area**

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**CBSE Class 7 Maths – MCQ and Online Tests – Unit 11 – Perimeter and Area**

Question 1.

The area of a square plot is 1600 m^{2}. The side of the plot is

(a) 40 m

(b) 80 m

(c) 120 m

(d) 160 m

## Answer

Answer: (a) 40 m

Hint:

Side = \(\sqrt{1600}\) = 40 m

Question 2.

The area of a square is 121 m^{2}. Its side is

(a) 11 m

(b) 21 m

(c) 31 m

(d) 41 m

## Answer

Answer: (a) 11 m

Hint:

Side = \(\sqrt{121}\) = 11 m

Question 3.

Area of a rectangle of length l and breadth b is

(a) l Ũ b

(b) l + b

(c) 2 Ũ (l + b)

(d) 6 Ũ (l + b)

## Answer

Answer: (a) l Ũ b

Hint:

Formula

Question 4.

Area of a parallelogram =

(?) base Ũ height

(b) \(\frac { 1 }{ 2 } \) Ũ base Ũ height

(c) \(\frac { 1 }{ 3 } \) Ũ base Ũ height

(d) \(\frac { 1 }{ 4 } \) Ũ base Ũ height

## Answer

Answer: (?) base Ũ height

Hint:

Formula

Question 5.

Area of a triangle =

(?) base Ũ height

(b) \(\frac { 1 }{ 2 } \) Ũ base Ũ height

(c) \(\frac { 1 }{ 3 } \) Ũ base Ũ height

(d) \(\frac { 1 }{ 4 } \) Ũ base Ũ height

## Answer

Answer: (b) \(\frac { 1 }{ 2 } \) Ũ base Ũ height

Hint:

Formula

Question 6.

The circumference of a circle of radius r is

(a) pr

(b) 2pr

(c) pr^{2}

(d) \(\frac { 1 }{ 4 } \) pr^{2}

## Answer

Answer: (b) 2pr

Hint:

Formula

Question 7.

The circumference of a circle of diameter d is

(a) pd

(b) 2pd

(c) \(\frac { 1 }{ 2 } \) pd

(d) pd^{2}

## Answer

Answer: (a) pd

Hint:

Formula

Question 8.

If r and d are the radius and diameter of a circle respectively, then

(a) d = 2 r

(b) d = r

(C) d = \(\frac { 1 }{ 2 } \) r

(d) d = r^{2}

## Answer

Answer: (a) d = 2 r

Hint:

Formula

Question 9.

The area of a circle of radius r is

(a) pr^{2}

(b) 2pr^{2}

(c) 2pr

(d) 4pr^{2}

## Answer

Answer: (a) pr^{2}

Hint:

Formula

Question 10.

The area of a circle of diameter d is

(a) pd^{2}

(b) 2pd^{2}

(c) \(\frac { 1 }{ 4 } \) pd^{2}

(d) 2pd

## Answer

Answer: (c) \(\frac { 1 }{ 4 } \) pd^{2}

Hint:

Formula

Question 11.

1 cm^{2} =

(a) 10 mm^{2}

(b) 100 mm^{2}

(c) 1000 mm^{2}

(d) 10000 mm^{2}

## Answer

Answer: (b) 100 mm^{2}

Hint:

Formula

Question 12.

Perimeter of a square =

(a) side Ũ side

(b) 3 Ũ side

(c) 4 Ũ side

(d) 2 Ũ side

## Answer

Answer: (c) 4 Ũ side

Hint:

Formula

Question 13.

Perimeter of a rectangle of length Z and breadth 6 is

(a) l + b

(b) 2 Ũ (l + b)

(c) 3 Ũ (l + b)

(d) l Ũ b

## Answer

Answer: (b) 2 Ũ (l + b)

Hint:

Formula

Question 14.

Area of a square =

(a) side Ũ side

(b) 2 Ũ side

(c) 3 Ũ side

(d) 4 Ũ side

## Answer

Answer: (a) side Ũ side

Hint:

Formula

Question 15.

1 are =

(a) 10 m^{2}

(b) 100 m^{2}

(c) 1000 m^{2}

(d) 10000 m^{2}

## Answer

Answer: (b) 100 m^{2}

Hint:

Formula

Question 16.

The area of a square is 625 m^{2}. Find its side

(a) 25 m

(b) 50 m

(c) 125 m

(d) 5 m

## Answer

Answer: (a) 25 m

Hint:

Side = \(\sqrt{625}\) = 25 m

Question 17.

The area of a rectangular field is 250 m^{2}. If the breadth of the field is 10 m, find its length.

(a) 25 m

(b) 50 m

(c) 100 m

(d) 125 m

## Answer

Answer: (a) 25 m

Hint:

Length = \(\frac{250}{10}\) = 25 m

Question 18.

The perimeter of a rectangle is 30 m. Its length is 10 m. Its breadth is

(a) 5 m

(b) 10 m

(c) 15 m

(d) 3 m

## Answer

Answer: (a) 5 m

Hint:

30 = 2 (Length + Breadth)

? 30 = 2 (10 + Breadth)

? Breadth = 5 m

Question 19.

If the area of a parallelogram is 16 cm2 and base is 8 cm, find the height.

(a) 1 cm

(b) 2 cm

(c) 3 cm

(d) 4 cm

## Answer

Answer: (b) 2 cm

Hint:

Height = \(\frac{16}{8}\) = 2 cm

Question 20.

The area of a parallelogram is 20 cm2 and height is 2 cm. Find the corresponding base.

(a) 3 cm

(b) 4 cm

(c) 5 cm

(d) 2.4 cm

## Answer

Answer: (d) 2.4 cm

Hint:

Base = \(\frac{20}{2}\) = 10 cm

Question 21.

The perimeter of a square is 48 cm. Its area is

(a) 144 cm^{2}

(b) 12 cm^{2}

(c) 48 cm^{2}

(d) 100 cm^{2}

## Answer

Answer: (a) 144 cm^{2}

Hint:

Side = \(\frac{48}{4}\) = 12 cm

? Area = 12 Ũ 12 = 144 cm^{2}

Question 22.

The area of a rectangular room is 150 m^{2}. If its breadth is 10 m, then find its length.

(a) 15 m

(b) 25 m

(c) 50 m

(d) 55 m

## Answer

Answer: (a) 15 m

Hint:

Length = \(\frac{150}{10}\) = 15 m

Question 23.

A rectangular wire of length 40 cm and breadth 20 cm is bent in the shape of a square. The side of the square is

(a) 10 cm

(b) 20 cm

(c) 30 cm

(d) 40 cm

## Answer

Answer: (c) 30 cm

Hint:

Side of square = \(\frac{2(40+20)}{4}\) = 30 cm

Question 24.

The area of a parallelogram of base 5 cm and height 3.2 cm is

(a) 8 cm^{2}

(b) 12 cm^{2}

(c) 16 cm^{2}

(d) 20 cm^{2}

## Answer

Answer: (c) 16 cm^{2}

Hint:

Area = 5 Ũ 3.2 = 16 cm^{2}

Question 25.

The diameter of a circle is 14 cm. Find its circumference

(a) 44 cm

(b) 22 cm

(c) 11 cm

(d) 55 cm

## Answer

Answer: (a) 44 cm

Hint:

Circumference = \(\frac{22}{7}\) Ũ 14 = 44 cm

Question 26.

The radius of a circle is 7 cm. Find its area

(a) 154 cm^{2}

(b) 77 cm^{2}

(c) 11 cm^{2}

(d) 22 cm^{2}

## Answer

Answer: (a) 154 cm^{2}

Hint:

Area = \(\frac{22}{7}\) Ũ 7 Ũ 7 = 154 cm^{2}

Question 27.

Find the area of the following ; parallelogram:

(a) 12 cm^{2}

(b) 6 cm^{2}

(c) 24 cm^{2}

(d) 8 cm^{2}

## Answer

Answer: (a) 12 cm^{2}

Hint:

Area = 6 Ũ 2 = 12 cm^{2}

Question 28.

Find the area of the following parallelogram:

(a) 6 cm^{2}

(b) 12 cm^{2}

(c) 16 cm^{2}

(d) 9 cm^{2}

## Answer

Answer: (b) 12 cm^{2}

Hint:

Area = 4 Ũ 3 = 12 cm^{2}

Question 29.

The area of the parallelogram ABCD in which AB = 6.2 cm and the perpendicular from C on AB is 5 cm is

(a) 30 cm^{2}

(b) 29 cm^{2}

(c) 28 cm^{2}

(d) 31 cm^{2}

## Answer

Answer: (d) 31 cm^{2}

Hint:

Area = 6.2 Ũ 5 = 31 cm^{2}

Question 30.

One of the sides and the corresponding height of a parallelogram are 3 cm and 1 cm respectively. The area of the parallelogram is

(a) 1 cm^{2}

(b) 3 cm^{2}

(c) 6cm^{2}

(d) 12 cm^{2}

## Answer

Answer: (b) 3 cm^{2}

Hint:

Area = 3 Ũ 1 = 3 cm^{2}

Question 31.

The diameter of a circle is 7 cm. Find its area

(a) 154 cm^{2}

(b) 38.5 cm^{2}

(c) 22 cm^{2}

(d) 11 cm^{2}

## Answer

Answer: (b) 38.5 cm^{2}

Hint:

Area = \(\frac{22}{7}\) Ũ \(\frac{7}{2}\) Ũ \(\frac{7}{2}\) = 38.5 cm^{2}

Question 32.

The perimeter of the following figure is

(a) 27 cm

(b) 28 cm

(c) 36 cm

(d) 40 cm

## Answer

Answer: (c) 36 cm

Hint:

Perimeter = 2 Ũ 7 + \(\frac{22}{7}\) Ũ 7

= 14 + 22 = 36 cm.

Question 33.

Find AD in the following figure :

(a) 3 cm

(b) 4 cm

(c) 5 cm

(d) 2.4 cm

## Answer

Answer: (d) 2.4 cm

Hint:

Area of ? ABC = \(\frac{3Ũ4}{2}\)

= \(\frac{5ŨAD}{2}\) ? AD = 2.4

Question 34.

Find the area of ? ABC :

(a) 1 cm^{2}

(b) 2 cm^{2}

(c) 4 cm^{2}

(d) \(\frac { 1 }{ 2 } \) cm^{2}

## Answer

Answer: (d) \(\frac { 1 }{ 2 } \) cm^{2}

Hint:

Area = \(\frac{1Ũ1}{2}\) = \(\frac{1}{2}\) cm^{2}

Question 35.

Find the area of ? ABC

(a) 3 cm^{2}

(b) 4 cm^{2}

(c) 6 cm^{2}

(d) 12 cm^{2}

## Answer

Answer: (c) 6 cm^{2}

Hint:

Area = \(\frac{4Ũ3}{2}\) = 6 cm^{2}

Question 36.

Find the area of ? ABC

(a) 1 cm^{2}

(b) 2 cm^{2}

(c) 3 cm^{2}

(d) 4 cm^{2}

## Answer

Answer: (c) 3 cm^{2}

Hint:

Area = \(\frac{3Ũ2}{2}\) = 3 cm^{2}

Question 37.

Which of the following is not the value of p ?

(a) \(\frac { 22 }{ 7 } \)

(b) \(\frac { 7 }{ 22 } \)

(c) \(\frac { 355 }{ 113 } \)

(d) 3.14

## Answer

Answer: (b) \(\frac { 7 }{ 22 } \)

Question 38.

The radius of a circle is 7 cm. Its circumference is

(a) 22 cm

(b) 44 cm

(c) 11 cm

(d) 66cm

## Answer

Answer: (b) 44 cm

Hint:

Circumference = 2 Ũ \(\frac{22}{7}\) Ũ 7 = 44 cm

Question 39.

1 m^{2} =

(a) 10 cm^{2}

(b) 100 cm^{2}

(c) 1000 cm^{2}

(d) 10000 cm^{2}

## Answer

Answer: (d) 10000 cm^{2}

Hint:

Formula

Question 40.

1 hectare =

(a) 10 m^{2}

(b) 100 m^{2}

(c) 1000 m^{2}

(d) 10000 m^{2}

## Answer

Answer: (d) 10000 m^{2}

Hint:

Formula

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