Mensuration Test

Result

Mensuration Test - 8

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Weekly Quiz Competition

Question 1
1 / -0

If the side of a square park is 5 m then its perimeter is______

A
10 m

B
25 m

C
20 m

D
15 m

Solution

We know,
Perimeter $$=4 \ast side $$ = $$ 4\ast 5$$ = $$20m$$
Question 2
1 / -0

Perimeter of square garden is 444 sq m. Then its side measures:

A
101 m

B
111 cm

C
111 m

D
101 cm

Solution

Perimeter of square garden $$\displaystyle = 444 \displaystyle = 4 \displaystyle \times side$$

$$\displaystyle side= \frac{444}{4}= 111m $$
Question 3
1 / -0

Area of square whose side measures 13 m is

A
9 m

B
9 sq m

C
169 sq m

D
169 m

Solution

We know,
Area of a square = $$ Side^2$$
= 13 $$\displaystyle \times $$ 13 $$\displaystyle = $$ 169 sq m
Question 4
1 / -0

Area of a rectangle whose length is $$13$$ m and breadth is $$12$$ m is

A
$$156$$ m

B
$$156$$ cm

C
$$156$$ sq m

D
none

Solution

Here, $$ABCD$$ is a rectangle.

$$AB,CD$$ are length of a rectangle and $$AD,BC$$ breadth of a rectangle.

$$\therefore$$ $$AB=CD=13m$$ and $$AD=BC=12m$$

$$\Rightarrow$$ Length of a rectangle $$(l)=13m$$
$$\Rightarrow$$ Breadth of a rectangle $$(b)=12m$$

$$\Rightarrow$$ Area of rectangle $$ABCD=l\times b$$
$$=13m\times 12m$$
$$=156\,m^2$$
Question 5
1 / -0

A rectangular playground which is $$250\ m$$ long and $$20\ m$$ broad is to be fenced with wire.How much wire needed?

A
$$270\ m$$

B
$$230\ m$$

C
$$540\ m$$

D
none

Solution

Wire needed would be perimeter of the playground:
We know,
Perimeter of rectangle: $$ 2(l+b) $$
$$=250 + 20 + 250 + 20 = 540\ m$$
Question 6
1 / -0

A postage stamp is $$12\ mm$$ in breadth and $$20\ mm$$ in length. Find the area of stamp in $$cm^{2}$$

A
$$0.24$$

B
$$240$$

C
$$24$$

D
$$2.4$$

Solution

As we know that,
$$1\ cm=10\ mm$$
So, $$1\ mm=0.1\ cm$$

Given:-
Length $$= 20\ mm$$
$$=20\times 0.1\ cm$$
$$=2\ cm$$
Breadth $$= 12\ mm$$
$$=12\times 0.1\ cm$$
$$=1.2\ cm$$

Area of stamp $$=$$ Length $$\times$$ Breadth
$$=2\times 1.2$$
$$=2.4\ cm^2$$

Hence, option $$D$$ is correct.
Question 7
1 / -0

Fill in the blanks:
Perimeter of the square of side $$4$$ cm = _____ cm

A
$$16$$

B
$$12$$

C
$$18$$

D
$$8$$

Solution

Given, Side of a square = $$4$$ cm

Perimeter of a square $$= 4 \times side$$
So, perimeter of the square $$= 4 \times 4 \ cm= 16 cm$$

Hence, the perimeter of the square is $$16\ cm$$
Question 8
1 / -0

An athelete takes $$5$$ rounds of a rectangular park, $$50$$ m long and $$250$$ m wide. Then the total distance covered by him is ______ .

A
$$150$$ m

B
$$75$$ m

C
$$1000$$ m

D
$$3000$$ m

Solution

Given, Breadth of the rectangular park $$b=250$$ m
and Length $$l=50$$ m

Perimeter of the park $$=2(b+l)$$

$$=2\times (250+50)$$

$$=2\times 300$$

$$=600$$ m

Given: Athlete take $$5$$ rounds around the rectangular park

So, the total distance covered by the athlete $$=$$ $$5\times 600$$ m $$=3000$$ m
Question 9
1 / -0

How many paving stones each measuring $$2.5\text{ m}$$ $$\times 2\text{ m}$$ are required to pave a rectangular courtyard $$30\text{ m}$$ long and $$16.5\text{ m}$$ wide?

A
$$105$$

B
$$89$$

C
$$99$$

D
$$84$$

Solution

Area of paving stones $$=2.5 \times 2=5 \text{ m}^2$$
Area of courtyard $$=30 \times 16.5=495 \text{ m}^2$$
Now,
Number of paving stones required $$=$$ area of courtyard $$÷$$ area of paving stone
$$= 495 ÷ 5$$
$$= 99 $$ paving stones
So option C is the correct answer.
Question 10
1 / -0

The figure is made up of $$2$$ rectangles
What is the perimeter of the big rectangle?

A
$$11r+12$$

B
$$22r+24$$

C
$$11r$$

D
$$11r+6$$

Solution

$$\Rightarrow$$ Length of a big rectangle $$(l)=(7r+3+3)cm=(7r+6)cm$$
.
$$\Rightarrow$$ Breadth of a big rectangle $$(b)=(4r+3+3)cm=(4r+6)cm$$

$$\Rightarrow$$ Perimeter of big rectangle $$=2(l+b)cm$$
$$=2[(7r+6)+(4r+6)]cm$$
$$=2[11r+12]cm$$
$$=22r+24\,cm$$

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Re-Attempt Weekly Quiz Competition

Mensuration Test - 8

Result

Mensuration Test - 8

Score

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Rank

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SHARING IS CARING

Question 1

10 m

25 m

20 m

15 m

Solution

Question 2

101 m

111 cm

111 m

101 cm

Solution

Question 3

9 m

9 sq m

169 sq m

169 m

Solution

Question 4

$$156$$ m

$$156$$ cm

$$156$$ sq m

none

Solution

Question 5

$$270\ m$$

$$230\ m$$

$$540\ m$$

none

Solution

Question 6

$$0.24$$

$$240$$

$$24$$

$$2.4$$

Solution

Question 7

$$16$$

$$12$$

$$18$$

$$8$$

Solution

Question 8

$$150$$ m

$$75$$ m

$$1000$$ m

$$3000$$ m

Solution

Question 9

$$105$$

$$89$$

$$99$$

$$84$$

Solution

Question 10

$$11r+12$$

$$22r+24$$

$$11r$$

$$11r+6$$

Solution

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