# Areas Quiz Set 008

 Correct Answers: Wrong Answers: Unattempted:

### Question 1

The diagonal and one side of a rectangle are 29 m and 21 m. What is the perimeter of the rectangle?

A

82 m.

B

84 m.

C

80 m.

D

86 m.

Soln.
Ans: a

The side = \$√{29^2 - 21^2}\$ = \$√{841 - 441}\$ = 20. So the perimeter = 2 × (21 + 20) = 82 m.

### Question 2

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%

### Question 3

The diagonal and one side of a rectangle are 5 m and 3 m. What is the area of the rectangle?

A

12 sq. m.

B

14 sq. m.

C

10 sq. m.

D

16 sq. m.

Soln.
Ans: a

The side = \$√{5^2 - 3^2}\$ = \$√{25 - 9}\$ = 4. So the area = 3 × 4 = 12 sq. m.

### Question 4

What is the ratio of the perimeter of a circle of radius 12 units to that of a square having the circle's diameter as its side?

A

π : 4.

B

π : 2.

C

12 : 3.

D

12 : π.

Soln.
Ans: a

Let X be the radius of the circle, so the side of the square is 2X. The ratio of the perimeters = \${2 × π × X}/{4 × (2X)}\$ = π/4.

### Question 5

The diagonal and one side of a rectangle are 5 m and 3 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 = \$√{5^2 - 3^2}\$ = \$√{25 - 9}\$ = 4. So the saving = (3 + 4) - 5 = 2 meters. So the %-age saving is \$2/7\$ × 100 = \${200/7}\$, which is same as: \$28{4/7}\$%.

This Blog Post/Article "Areas Quiz Set 008" 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

Posted by Parveen(Hoven),
Aptitude Trainer