Mensuration Test

Result

Mensuration Test - 10

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 which is $$25\ cm$$ is equal to the side of a square, and the area of the rectangle is $$125\ cm^2$$ less than the area of the square. What is the breadth of the rectangle?

A
$$20\ cm$$

B
$$25\ cm$$

C
$$40\ cm$$

D
$$15\ cm$$

Solution

Area of the square $$= (25 \times 25)\ cm^2= 625\ cm^2$$
$$\therefore$$ Area of the rectangle $$= (625 - 125)\ cm^2$$$$=500 \ cm^2$$
$$\therefore$$ Breadth of the rectangle $$=\dfrac{Area}{Length}=\displaystyle \frac{500}{25} cm= 20\, cm$$
Question 2
1 / -0

The perimeter of a rectangle is $$170$$ m and its length is $$50$$ m. Then the breadth is:

A
$$80$$ m

B
$$65$$ m

C
$$55$$ m

D
$$35$$ m

Solution

Let the breadth of the rectangle is $$b$$.
Perimeter of the rectangle $$=2(l+b)=170 m$$ {Given}
$$\Rightarrow2(50+b)=170$$
$$\Rightarrow 50+b=85$$
$$ \Rightarrow b=35m$$
Question 3
1 / -0

The floor of a rectangular room is $$15\ m$$ long and $$12\ m$$ wide. The room is surrounded by a verandah of width $$2\ m$$ on all its sides. The area of verandah is:

A
$$124\, m^2$$

B
$$120\, m^2$$

C
$$108\, m^2$$

D
$$58\, m^2$$

Solution

Area of outer rectangle $$= 19\, \times\, 16\, =\, 304\, m^2$$
Area of inner rectangle $$= 15\, \times\, 12\, =\, 180\, m^2$$
$$\therefore$$ Reqd. area $$= (304 -180)\, m^2\, =\, 124\, m^2.$$
Question 4
1 / -0

The perimeter of a rectangular plot whose length is $$75\ m$$ and breadth is $$50\ m$$ is ...........

A
$$125\ m$$

B
$$250\ m^2$$

C
$$25\ m$$

D
$$250\ m$$

Solution

The perimeter of the rectangular plot = $$2\times(length + breadth)$$
$$=2\times(75+70)$$
$$=2\times 145$$
$$=250\ m$$
Question 5
1 / -0

The cost of levelling a rectangular ground at Rs $$1.25$$ per sq meter is Rs $$900$$. If the length of the ground is $$30$$ meters, then the width is

A
$$330$$ meters

B
$$34$$ meters

C
$$24$$ meters

D
$$18$$ meters

Solution

Surface area of floor=$$\dfrac{total cost}{cost\quad per\quad m^2}$$
=$$\dfrac{900}{1.25}=720 m^2$$
$$30 \times$$ (width)=$$720 m^2$$
$$width=24 m$$
Question 6
1 / -0

Find the perimeter of the following figure?

A
$$800\ m$$

B
$$600\ m$$

C
$$1200\ m$$

D
None of these

Solution

Perimeter of figure = sum of all sides $$=100+100+100+100+100+100$$
$$=600m$$
Question 7
1 / -0

Raghu walks around a park everyday. How far does he walk in one round?

A
$$198$$ m

B
$$298$$ m

C
$$228$$ m

D
$$328$$ m

Solution

In $$1$$ round Raghu walks $$(66+75+102+85)m=328m$$
Question 8
1 / -0

The length and breadth of a rectangular plot are 900 m and 700 m respectively If three rands of fence is fixed around the field at the cost of Rs.8 per meter the total amount spend is

A
Rs 768

B
Rs 7680

C
Rs 76,800

D
Rs 768,000

Solution

l $$\displaystyle = $$ 900 b $$\displaystyle = $$ 700
Perimeter $$\displaystyle = $$ 2(900 + 700)
$$\displaystyle = $$ 2(1600)
$$\displaystyle = $$ 3200
3 rands fence:
$$\displaystyle = $$ 3(3200)
$$\displaystyle = $$ 9600m
$$\displaystyle = $$ 9600 $$\displaystyle \times $$ 8 $$\displaystyle = $$ Rs 76,800
Question 9
1 / -0

The perimeter of a square is ____ times the length of the side.

A
$$2$$

B
$$3$$

C
$$4$$

D
$$5$$

Solution

As we know that all the sides of a squqre are equal.
So its perimeter will be $$4$$ times the length of the side.
Hence, the answer is $$4$$.
Question 10
1 / -0

Find the sum of the perimeters of the figures given above.

A
$$350$$ cm

B
$$360$$ cm

C
$$370$$ cm

D
$$380$$ cm

Solution

Perimeter is simply the sum of sides of figure.
Perimeter for first figure(triangle) $$=(60+50+60)=170\,cm$$
Perimeter for first figure(rectangle) $$=(60+40+60+40)=200\,cm$$
So, the sum of perimeter $$=170+200=370$$ cm

User

Question Analysis

Correct -
Wrong -
Skipped -

My Perfomance

Score
-
out of -
Rank
-
out of -

Re-Attempt Weekly Quiz Competition

Mensuration Test - 10

Result

Mensuration Test - 10

Score

-

Rank

-

SHARING IS CARING

Question 1

$$20\ cm$$

$$25\ cm$$

$$40\ cm$$

$$15\ cm$$

Solution

Question 2

$$80$$ m

$$65$$ m

$$55$$ m

$$35$$ m

Solution

Question 3

$$124\, m^2$$

$$120\, m^2$$

$$108\, m^2$$

$$58\, m^2$$

Solution

Question 4

$$125\ m$$

$$250\ m^2$$

$$25\ m$$

$$250\ m$$

Solution

Question 5

$$330$$ meters

$$34$$ meters

$$24$$ meters

$$18$$ meters

Solution

Question 6

$$800\ m$$

$$600\ m$$

$$1200\ m$$

None of these

Solution

Question 7

$$198$$ m

$$298$$ m

$$228$$ m

$$328$$ m

Solution

Question 8

Rs 768

Rs 7680

Rs 76,800

Rs 768,000

Solution

Question 9

$$2$$

$$3$$

$$4$$

$$5$$

Solution

Question 10

$$350$$ cm

$$360$$ cm

$$370$$ cm

$$380$$ cm

Solution

User

Question Analysis

My Perfomance

Score

-

Rank

-

Results Announcement on: coming Monday

Stay Tuned: We’ll update you on your result via email or SMS.