Areas Quiz Set 017

Question 1

What is the area of the largest circle that can fit completely inside a square of side 6 meters?

A

9π sq. m.

B

18π sq. m.

C

81π sq. m.

D

4.5π sq. m.

Soln.
Ans: a

The radius of such a circle is 6/2 = 3 m. So its area = π × 3 × 3 = 9π sq. m.

Question 2

The length and breadth of a rectangle are in the ratio 16 : 11. What is the perimeter if the area is 2816 sq. meters?

A

216 meters.

B

218 meters.

C

214 meters.

D

220 meters.

Soln.
Ans: a

Let L = 16x and B = 11x. We are given (16x × 11x) = 2816, which gives x = 4. So perimeter = 2 × ((16 × 4) + (11 × 4)) × = 216 meters.

Question 3

The diagonal and one side of a rectangle are 26 m and 24 m. What is the percentage saving of a man who walks along the diagonal instead of the two sides?

A

\$23{9/17}\$%.

B

\$26{1/16}\$%.

C

\$20{3/19}\$%.

D

\$23{14/19}\$%.

Soln.
Ans: a

The side = \$√{26^2 - 24^2}\$ = \$√{676 - 576}\$ = 10. So the saving = (24 + 10) - 26 = 8 meters. So the %-age saving is \$8/34\$ × 100 = \${400/17}\$, which is same as: \$23{9/17}\$%.

Question 4

What is the cost of plastering, @50 paise per square meter, the walls and floor of a 38 m × 14 m. tank that is 8 meters high?

A

Rs. 682 .

B

Rs. 684 .

C

Rs. 680 .

D

Rs. 686 .

Soln.
Ans: a

The area to be plastered is \$(2 × l × h) + (2 × b × h) + (l × b)\$ = (2 × 38 × 8) + (2 × 14 × 8) + (38 × 14) = 1364 sq. m. The cost = 1364 × 0.50 = Rs. 682.

Question 5

Two concentric circles of radii 16 and 7 cm are drawn on a paper. What is the area of the portion that is inside the outer circle but outside the inner circle?

A

207π sq. cm.

B

414π sq. m.

C

42849π sq. m.

D

103π sq. m.

Soln.
Ans: a

The required area is difference of the areas of the two circles. π(\$16^2 - 7^2\$) = 207π sq. cm. This Blog Post/Article "Areas Quiz Set 017" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.
Updated on 2019-08-18.