MCQ Questions for Class 7 Maths Perimeter And Area Quiz 12

A rectangle has an area

$304$ square hectares. Find its area in meters.

0%
$3,040$ $m^2$
0%
$30,400$ $m^2$
0%
$3,04,000$ $m^2$
0%
$3,040,000$ $m^2$

A tire on a car rotates at 500 RPM (revolutions per minute) when the car is traveling at 50 km/hr (kilometers per hour). What is the circumference of the tire, in meters?

0%
$10\pi/6$
0%
$50,000/(60*2\pi)$
0%
$50,000/(500*2\pi)$
0%
$10/6$

Explanation

Speed

$=50km/hr=50,000m/hr$

speed

$(in \, m/min)=50,000/60\,m/min$

In any given minute the car travels

$50,000/60m/min$ and tire volutes

$500$ times around or

$500$ time its circumference.

Let the circumference be C.

$\Rightarrow 50,000/60=500C$

$C=\dfrac{50,000}{500\times 60}$

$C=\dfrac{10}{6}m$

2114835_537511_ans_4722e15c183743e3b546e629450d6e0d.png

The area of the given figure ABCDEF is

0%
$22.82$ $\displaystyle cm^{2}$
0%
$25.82$ $\displaystyle cm^{2}$
0%
$26.82$ $\displaystyle cm^{2}$
0%
$28.82$ $\displaystyle cm^{2}$

In the given figure, what is the area of $$\triangle PQR$$?

0%
$15\sqrt{3}\: cm^2$
0%
$27\sqrt{5}\: cm^2$
0%
$3\sqrt{15}\: cm^2$
0%
$45\sqrt{3}\: cm^2$

The length of a rectangle is twice the diameter of a circle. The circumference of the circle is equal to the area of a square of side 22 cm. What is the breadth of the rectangle, if its perimeter is 668 cm?

0%
$24 \ cm$
0%
$26 \ cm$
0%
$52 \ cm$
0%
Cannot be determined

Explanation

Given that, circumference of the circle is equal to the area of a square of side

$22 \ cm$ .

We know that, circumference of a circle is

$2\pi r$

and area of a square is

$side\times side$

$\therefore \ 2\pi r = side \times side$

$\Rightarrow 2 \times \cfrac {22}{7} \times radius = 22 \times 22 \quad \quad [\because \ \pi=\frac{22}{7}]$

$\Rightarrow$ radius

$(r)= 77 \ cm$

Given that, the length of a rectangle is twice the diameter of a circle.

$\Rightarrow$ length

$= 2(77 \times 2) = 308 \ cm \quad \quad [\because d=2r]$

Also given that, the perimeter of the rectangle is

$668 \ cm$ .

$\therefore \ 2(length + breadth ) = 668$

$\Rightarrow length + breadth = 334 \ cm$

$\Rightarrow 308 + breadth = 334 \quad \quad [\because length=308\ cm]$

$\Rightarrow$ breadth

$= 26 \ cm$

Hence, the breadth of the rectangle is

$26\ cm$ .

If one leg of an isosceles right-angled triangle is increased by

$6$ cm and that of the other leg decreased by

$4$ cm, then the area of the triangle decreases by

$24$ sq cm. Find the length of the leg of the original triangle

0%
$36$ cm
0%
$30$ cm
0%
$24$ cm
0%
none of these

The outer circle has center

$O$ and circumference

$p$ .

$OT$ is a diameter of the inner circle.

The circumference of the inner circle

$\dfrac {1}{2}p$

0%
If the quantity in Column A is greater
0%
If the quantity in Column B is greater
0%
If the two quantities are equal
0%
If the relationship cannot be determined from the information given

Explanation

Let the radius of outer circle be

$r$ .

Circumference

$p$ of outer circle is

$2 \times \pi \times r$

$i.e. p = 2 \pi r$ .

Now the radius of inner circle is

$\dfrac {r}{2}$ , so the circumference of innercircle is

$2 \times \pi \times \dfrac {r}{2} = \pi \times r = \dfrac {p}{2}$ .

Therefore, the quantities in two columns are equal.

So, the correct option is

$C$ .

Find the area of the shaded region in the following figure

0%
28. 45 sq. cm
0%
113.6 sq. cm
0%
59.8 sq. cm
0%
46.88 sq. cm

In the figure above, the four circles have the same center and their radii are

$1, 2, 3$ and

$4$ , respectively. What is the ratio of the area of the small shaded ring to the area of the large shaded ring?

0%
$1 : 2$
0%
$1 : 4$
0%
$3 : 5$
0%
$3 : 7$

Explanation

We know that area of circle is

$\pi \times {r}^{2}$ , where

$r$ is radius.

Area of small shaded ring is

$\pi \times ({ 2 }^{ 2 }-{ 1 }^{ 2 }) = \pi \times 3$ .

Area of large shaded region is

$\pi \times ({ 4 }^{ 2 }-{ 3 }^{ 2 }) = \pi \times 7$ .

The ratio of smaller to larger shaded regions is

$\pi \times \dfrac {3}{\pi }\times 7 = \dfrac {3}{7}$ .

ABCD is a parallelogram, E is the mid-point of AB and CE bisects

$\displaystyle \angle BCD$ , the

$\displaystyle \angle DEC$ is:

0%
$\displaystyle { 60 }^{ \circ }$
0%
$\displaystyle { 90 }^{ \circ }$
0%
$\displaystyle { 100 }^{ \circ }$
0%
$\displaystyle { 120 }^{ \circ }$

Circle

$C_1$ passes through the centre of circle

$C_2$ and is tangential to it. If the area of

$C_1$ is

$4cm^2$ , then the area of

$C_2$ is ________.

0%
$8cm^2$
0%
$8\sqrt{\pi}cm^2$
0%
$16cm^2$
0%
$16\sqrt{\pi}cm^2$

If it costs Rs.

$320$ to carpet a square room

$8$ metres broad, what would it cost, at the same rate per square metre, to carpet an oblong room

$6$ metres by

$5$ metres?

0%
Rs. $160$
0%
Rs. $250$
0%
Rs. $150$
0%
Rs. $320$

A hectare of land is divided into plots each

$25$ metres long and

$20$ metres broad. How many plots are there?

0%
$20$
0%
$50$
0%
$40$
0%
$25$

A rectangular garden 63 m long and 54 m board has a path 3 m wide inside it. Find the cost of paving the path at Rs, 37/2 per square meter :

0%
Rs. 12321
0%
Rs. 11100
0%
Rs. 74000
0%
none of these

A parallelogram has sides 30 cm and 20 cm and one of its diagonal is 40 cm long. Then its area is:

0%
$75\sqrt { 5 } { cm }^{ 2 }$
0%
$245\quad { cm }^{ 2 }$
0%
$150\sqrt { 15 } { cm }^{ 2 }$
0%
$300\quad { cm }^{ 2 }$

The mid points of the sides of a parallelogram are joined to form a small parallelogram. it the area of the small parallelogram is 20sq.cm then the area of the original parallelogram is

0%
30 sq.cm
0%
40 sq.cm
0%
45 sq.cm
0%
80 sq.cm

What is the minimum radius (>1) of a circle whose circumference is an integer ?

0%
2
0%
$\dfrac { 4 }{ \pi }$
0%
$\dfrac { 6 }{ \pi }$
0%
$\dfrac { 3 }{ \pi }$

Length of chord

$AB=14\sqrt{2}$ and

$\angle{ACB}=45^{\circ}$ in the adjoining figure of a circle with centre 'O'. Find the area of this circle.

0%
308 $cm^2$
0%
154 $cm^2$
0%
2464 $cm^2$
0%
616 $cm^2$

find the diameterof the circle given the area

0%
${ 616m }^{ 2 }$
0%
${ 1386m }^{ 2 }$
0%
${ 2464m }^{ 2 }$
0%
${ 55.44m }^{ 2 }$

CBSE Questions for Class 7 Maths Perimeter And Area Quiz 12 - MCQExams.com

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Practice Class 7 Maths Quiz Questions and Answers

CBSE Questions for Class 7 Maths Perimeter And Area Quiz 12 - MCQExams.com

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Practice Class 7 Maths Quiz Questions and Answers

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