This set of Aptitude Questions and Answers (MCQs) focuses on “Rectangles and Squares”.

1. The length of a rectangle is 15 cm and its breadth is 10 cm. When the length is increased to 25 cm, what will be the breadth (in m) of the rectangle if the area remains the same?

a) 0.06

b) 0.75

c) 1.52

d) 6

View Answer

Explanation: Given,

L = 15, B = 10

Area = 15 * 10 = 150 sq. cm

New L = 25 and let new breadth = B

New Area = 25B

According to the question,

Area = New Area

➩ 150 = 25B

➩ 150 / 25 = B

➩ 6 = B

➩ B = 6 cm = 0.06 m

2. One side of rectangular field is 8 meter and one of its diagonals is 10 meters. What will be the area (sq. m) of the field?

a) 48

b) 6

c) 8

d) 12

View Answer

Explanation: Given,

l = 8, b = ? and d = 10

➩ d

^{2}= l

^{2}+ b

^{2}

➩ b = (10

^{2}– 8

^{2})

^{1/2}

➩ b = (100 – 64)

^{1/2}

➩ b = (36)

^{1/2}

➩ b = 6

➩ Area = 8 * 6

➩ Area = 48 sq. m

3. A rectangular plot measuring 90 m by 40 m is to be enclosed by wire fencing. If the poles of the fence are kept 5 m apart, what will be the total number of poles required?

a) 1500

b) 1440

c) 1320

d) 1410

View Answer

Explanation: Perimeter = 2(L + B)

➩ 2(90 * 40)

➩ 2(3600)

➩ 7200 m

Number of poles = perimeter / distance between each pole

= 7200 / 5

= 1440

4. If the perimeter and area of a square field are equal, then what will be the length of one of its side?

a) 4

b) 16

c) 2

d) 12

View Answer

Explanation: Let the length of its side be A units.

According to the question,

Area = perimeter

A

^{2}= 4A

A = 4 units

5. The area of a square is 100 sq. m. What will be the length of its side?

a) 1 m

b) 100 cm

c) 10 m

d) 0.1 m

View Answer

Explanation: Let the length of its side be a m.

Area = a

^{2}

➩ 100 = a

^{2}

➩ 10 m = a

6. What will be the area of the square if one of its side is 7 m long?

a) 343 m^{2}

b) 14 m^{2}

c) 49 m^{2}

d) 28 m^{2}

View Answer

Explanation: Given,

l = 7m

Area of square = l

^{2}

= 7

^{2}

= 49 m

^{2}

7. A square floor is 5 m in length. What will be the number of tiles required to cover its floor having 1 m^{2} area each?

a) 25

b) 50

c) 5

d) 10

View Answer

Explanation: Number of tiles = Area of floor / Area of 1 tile.

➩ Number of tiles = 5

^{2}/ 1

= 25 / 1

= 25

8. A wire is in shape of a square of side 12 cm. It is again bent into a rectangle of length 15 cm and an additional length of 4 cm is added in the wire. What will be the breadth (in cm) of the rectangle?

a) 7

b) 9

c) 11

d) 14

View Answer

Explanation: According to the question perimeter of the square and the rectangle are equal.

➩ Perimeter of square + 4 cm = perimeter of rectangle

➩ (4 * 12) + 4 = 2(15 + b)

➩ 48 + 4 = 2(15 + b)

➩ 26 = 15 + b

➩ 26 – 15 = b

➩ 11 = b

9. How much length of fence wire is required for a field of 10 by 12 m long?

a) 22 m

b) 44 m

c) 30 m

d) 49 m

View Answer

Explanation: Length of fence wire = perimeter of field

➩ Wire required = 2(l + b)

= 2(10 + 12)

= 2(22)

= 44 m

10. What will be the difference in the area of a square if its side is increased from 10 to 15 cm?

a) 125

b) 144

c) 128

d) 157

View Answer

Explanation: Old area = 10

^{2}

= 100 cm

^{2}

New area = 15

^{2}

= 225 cm

^{2}

Difference = 225 – 100

= 125

To practice all aptitude questions, please visit “1000+ Quantitative Aptitude Questions”, “1000+ Logical Reasoning Questions”, and “Data Interpretation Questions”.