Mensuration Test

Result

Mensuration Test - 5

Score
-
out of -
Rank
-
out of -

TIME Taken - -

SHARING IS CARING

If our Website helped you a little, then kindly spread our voice using Social Networks. Spread our word to your readers, friends, teachers, students & all those close ones who deserve to know what you know now.

Weekly Quiz Competition

Question 1
1 / -0

The length of a rectangle is twice its breadth. If the breadth measures 7 cm, then what is the perimeter of the rectangle?

A
21 cm

B
42 cm

C
40 cm

D
28 cm

Solution

Breadth = 7 cm
Length = 2 breadth = 2 7 cm = 14 cm
= Perimeter = 2( + b)
= 2(14 + 7) cm = 42 cm
Question 2
1 / -0

The breadth of a rectangle is 3 cm less than its length. If its perimeter is 18 cm, what is the ratio of breadth (b) to length (^₎?

A
2 : 1

B
1 : 2

C
1 : 3

D
3 : 1

Solution

Given: b = – 3
Now,
Perimeter = 2 ( + b)
18 cm = 2 ( + – 3 cm)
18 cm = 2 (2 – 3 cm)
18 cm = 4 – 6 cm
24 cm = 4
= 6 cm
b = 3 cm
Ratio of b to = 3 cm : 6 cm = 1 : 2
Question 3
1 / -0

What is the area of the given figure? (1 box = 1 sq. unit)

A
6 sq. units

B
6.5 sq. units

C
5 sq. units

D
5.5 sq. units

Solution

Fully-filled squares = 5
Half-filled squares = 3
Total area = 5 1 + 3 = 5 + 1.5 = 6.5 sq. units
Question 4
1 / -0

Sheela took 4 rounds of a regular hexagon–shaped field with each side measuring 5 m. What is the total distance covered by her?

A
124 m

B
144 m

C
100 m

D
120 m

Solution

Perimeter of the field = 6 side
= 6 5m = 30 m
Total distance covered = 30 4
= 120 m
Question 5
1 / -0

What is the area of the shaded portion? (1 box = 1 sq. unit)

A
5 sq. units

B
6.5 sq. units

C
7 sq. units

D
7.5 sq. units

Solution

Fully-filled squares = 5
Half-filled squares = 4
Area = 5 1 + = 5 + 2 = 7 sq. units
Question 6
1 / -0

The area of a rectangular tray is 165 cm². If its length is 15 cm, what is its width?

A
11 cm

B
13 cm

C
17 cm

D
19 cm

Solution

Area = b
165 = 15 b
Or b = 11 cm
Question 7
1 / -0

The length of each side of square A is 12 cm and that of square B is 9 cm. What is the ratio of the area of square A to that of square B?

A
9 : 16

B
16 : 9

C
4 : 3

D
3 : 4

Solution

Area of square A = (12)² = 144 cm²
Area of square B = (9)² = 81 cm²
Ratio = =
Question 8
1 / -0

What is the perimeter of the given figure?

A
24 cm

B
16 cm

C
19 cm

D
21 cm

Solution

Perimeter = Sum of all sides

= (2 + 1 + 2 + 1 + 2 + 2 + 8 + (4 - x) + 2 + x) cm
= 24 cm
Question 9
1 / -0

What is the perimeter of the given figure?

A
23 cm

B
24 cm

C
28 cm

D
26 cm

Solution

Perimeter = Sum of all sides
4 + 2 + 2 + 2 + 4 + 5 + 1 + 3 + 1 + 4 = 28 cm
Question 10
1 / -0

How many tiles (each of dimensions 10 m 5 m) are needed to cover a rectangular plot of length 120 m and breadth 20 m?

A
28

B
40

C
48

D
80

Solution

Number of tiles =
= = 48 tiles
Question 11
1 / -0

What is the total cost of polishing a rectangular floor of length and breadth as 200 m and 160 m, respectively, at the rate of Rs. 250 per thousand square metres?

A
Rs. 800

B
Rs. 8000

C
Rs. 80,000

D
Rs. 8,00,000

Solution

Area of the floor = 200 160 m²
= 32000 m²
Now,
Cost of polishing 1000 m² = Rs. 250
Cost of polishing 32000 m² = Rs.
= Rs. 8000
Question 12
1 / -0

The area of a square field is the same as that of a rectangular field whose length and breadth measure 9 units and 4 units, respectively. What is the measure of each side of the square field?

A
4 units

B
7 units

C
6 units

D
12 units

Solution

Area of square field = (Side)²
Area of rectangular field = b
According to the question,
(Side)² = b = 9 4
(Side)² = 36 unit²
Or
Side = 6 units
Question 13
1 / -0

What is the area of the shaded portion? (Area of 1 square = 1 sq. unit)

A
6 sq. units

B
6.5 sq. units

C
5 sq. units

D
5.5 sq. units

Solution

Fully-filled squares = 2
Half-filled squares = 6
Total area = 2 1 + 6
= 2 + 3
= 5 sq. units
Question 14
1 / -0

What is the area of the shaded portion? (Area of 1 square = 1 sq. unit)

A
5 sq. units

B
4 sq. units

C
8 sq. units

D
6 sq. units

Solution

Fully-filled squares = 4
Half-filled squares = 4
Total area = 4 1 + 4
= 4 + 2 = 6 sq. units
Question 15
1 / -0

What is the total cost of gardening a square field with each side measuring 22 m at the rate of Rs. 4 per m²?

A
Rs. 1210

B
Rs. 1936

C
Rs. 8880

D
Rs. 1963

Solution

Area of square field = (22)² = 484 m²
Cost of gardening 1 m² = Rs. 4
Cost of gardening 484 m² = Rs. 4 484
= Rs. 1936