# Areas Quiz Set 019

### Question 1

What is the area of the largest circle that can fit completely inside a square of side 4 meters?

A

4π sq. m.

B

8π sq. m.

C

16π sq. m.

D

2π sq. m.

Soln.
Ans: a

The radius of such a circle is 4/2 = 2 m. So its area = π × 2 × 2 = 4π sq. m.

### Question 2

The diagonal and one side of a rectangle are 10 m and 8 m. What is the percentage saving of a man who walks along the diagonal instead of the two sides?

A

\$28{4/7}\$%.

B

\$34{1/2}\$%.

C

\$21{4/9}\$%.

D

\$24{5/9}\$%.

Soln.
Ans: a

The side = \$√{10^2 - 8^2}\$ = \$√{100 - 64}\$ = 6. So the saving = (8 + 6) - 10 = 4 meters. So the %-age saving is \$4/14\$ × 100 = \${200/7}\$, which is same as: \$28{4/7}\$%.

### Question 3

What is the smallest number of square tiles that can be laid fully, without cutting, on a floor 6 m by 98 m?

A

147 .

B

148 .

C

146 .

D

149 .

Soln.
Ans: a

The side of the square tile has to be HCF(6, 98) = 2. Hence, the required number is \${6 × 98}/{2 × 2}\$ = 147.

### Question 4

The length and breadth of a rectangle are in the ratio 19 : 2. What is the area if the perimeter is 294 meters?

A

1862 sq. meters.

B

1864 sq. meters.

C

1860 sq. meters.

D

1866 sq. meters.

Soln.
Ans: a

Let L = 19x and B = 2x. We are given 2 × (19x + 2x) = 294, which gives x = 7. So area = L × B = (19 × 7) × (2 × 7) = 1862 sq. meters.

### Question 5

What is the smallest number of square tiles that can be laid fully, without cutting, on a floor 57 m by 12 m?

A

76 .

B

77 .

C

75 .

D

78 .

Soln.
Ans: a

The side of the square tile has to be HCF(57, 12) = 3. Hence, the required number is \${57 × 12}/{3 × 3}\$ = 76. This Blog Post/Article "Areas Quiz Set 019" 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