Areas Quiz Set 006

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Question 1

The length and breadth of a rectangle are in the ratio 14 : 3. What is the area if the perimeter is 102 meters?

 A

378 sq. meters.

 B

380 sq. meters.

 C

376 sq. meters.

 D

382 sq. meters.

Soln.
Ans: a

Let L = 14x and B = 3x. We are given 2 × (14x + 3x) = 102, which gives x = 3. So area = L × B = (14 × 3) × (3 × 3) = 378 sq. meters.


Question 2

The diagonal and one side of a rectangle are 10 m and 8 m. What is the area of the rectangle?

 A

48 sq. m.

 B

50 sq. m.

 C

46 sq. m.

 D

52 sq. m.

Soln.
Ans: a

The side = $√{10^2 - 8^2}$ = $√{100 - 64}$ = 6. So the area = 8 × 6 = 48 sq. m.


Question 3

The length and breadth of a rectangular area are in the ratio 3 : 1. What is the length of the field if a car travelling at 20 km/h covers one round of the rectangle in 48 minutes?

 A

6 km.

 B

8 km.

 C

4 km.

 D

10 km.

Soln.
Ans: a

Let L = 3x and B = 1x. Perimeter = 2 × (3x + 1x) = speed × time = (20 × 48)/60 = 16 km. So x = 2, and L = 3x = 6 km.


Question 4

The diagonal and one side of a rectangle are 34 m and 16 m. What is the area of the rectangle?

 A

480 sq. m.

 B

482 sq. m.

 C

478 sq. m.

 D

484 sq. m.

Soln.
Ans: a

The side = $√{34^2 - 16^2}$ = $√{1156 - 256}$ = 30. So the area = 16 × 30 = 480 sq. m.


Question 5

The length of a square is increased by 1%, what is the % increase in area?

 A

2.01%.

 B

2%.

 C

5%.

 D

4.02%.

Soln.
Ans: a

If x% is the increase in length, then area increases by $(2x + x^2/100)$%. Putting x = 1, the increase is $(2 × 1 + 1^2/100)$% = 2.01%


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Creative Commons License
This Blog Post/Article "Areas Quiz Set 006" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.
Updated on 2017-08-12.

Posted by Parveen(Hoven),
Aptitude Trainer


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