# Areas Quiz Set 011

### Question 1

What is the smallest number of square tiles that can be laid fully, without cutting, on a floor 21 m by 27 m?

A

63 .

B

64 .

C

62 .

D

65 .

Soln.
Ans: a

The side of the square tile has to be HCF(21, 27) = 3. Hence, the required number is \${21 × 27}/{3 × 3}\$ = 63.

### Question 2

The length and breadth of a rectangular area are in the ratio 5 : 3. What is the length of the field if a car travelling at 30 km/h covers one round of the rectangle in 96 minutes?

A

15 km.

B

17 km.

C

13 km.

D

19 km.

Soln.
Ans: a

Let L = 5x and B = 3x. Perimeter = 2 × (5x + 3x) = speed × time = (30 × 96)/60 = 48 km. So x = 3, and L = 5x = 15 km.

### Question 3

What is the cost of plastering, @50 paise per square meter, the walls and floor of a 34 m × 22 m. tank that is 24 meters high?

A

Rs. 1718 .

B

Rs. 1720 .

C

Rs. 1716 .

D

Rs. 1722 .

Soln.
Ans: a

The area to be plastered is \$(2 × l × h) + (2 × b × h) + (l × b)\$ = (2 × 34 × 24) + (2 × 22 × 24) + (34 × 22) = 3436 sq. m. The cost = 3436 × 0.50 = Rs. 1718.

### Question 4

The difference between the length and breadth of a rectangle is 10 m. What is the area if the perimeter is 48 meters?

A

119 sq. meters.

B

121 sq. meters.

C

117 sq. meters.

D

123 sq. meters.

Soln.
Ans: a

If L and B are the length and breadth of the rectangle, then L - B = 10 and 2(L + B) = 48. Solving, we get L = 17 and B = 7, so the area is 17 × 7 = 119 sq. m. TIP: Sometimes long multiplications can be avoided by looking at the units place of the given options.

### Question 5

The diagonal and one side of a rectangle are 26 m and 24 m. What is the area of the rectangle?

A

240 sq. m.

B

242 sq. m.

C

238 sq. m.

D

244 sq. m.

Soln.
Ans: a

The side = \$√{26^2 - 24^2}\$ = \$√{676 - 576}\$ = 10. So the area = 24 × 10 = 240 sq. m. This Blog Post/Article "Areas Quiz Set 011" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.
Updated on 2020-02-07. Published on: 2016-05-09