Perimeter and Area Test

Result

Perimeter and Area Test - 39

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Weekly Quiz Competition

Question 1
1 / -0

Convert:
$$58.23$$ $$cm^2 = $$ ____ $$mm^2$$

A
$$5.823$$

B
$$582.3$$

C
$$5823$$

D
$$58230$$

Solution
Question 2
1 / -0

Which of the following has least area?

A
$$A1$$

B
$$A2$$

C
$$A3$$

D
None of these

Solution
Question 3
1 / -0

Diya has a photo frame, which is in the shape of square. If she wants to know the space occupied by it, then she needs to find its ____.

A
perimeter

B
area

C
can't say anything

D
none of these

Solution
Question 4
1 / -0

There is gab between two rooms in Riya'house in a triangular shape of area $$512$$ $$cm^2$$. Find its area in $$mm^2$$

A
$$51.2$$ $$mm^2$$

B
$$5120$$ $$mm^2$$

C
$$51200$$ $$mm^2$$

D
$$512000$$ $$mm^2$$
Question 5
1 / -0

Find the area of the triangle given.

A
$$3$$ sq units

B
$$6$$ sq units

C
$$9$$ sq units

D
None of the above

Solution
Question 6
1 / -0

Richa wants to add a rectangular stone in her ring of length $$2$$ $$cm$$ and breadth $$1.5$$ $$cm$$. Find the area of stone in millimetrrs.

A
$$0.3$$ $$mm^2$$

B
$$3$$ $$mm^2$$

C
$$30$$ $$mm^2$$

D
$$300$$ $$mm^2$$

Solution
Question 7
1 / -0

The area of MCM college is $$213$$ hectares. Find its area in meters.

A
$$2130$$

B
$$21300$$

C
$$213000$$

D
$$2130000$$

Solution
Question 8
1 / -0

Convert $$200 cm^2$$ in $$mm^2$$.

A
$$2000$$ $$mm^2$$

B
$$20000$$ $$mm^2$$

C
$$200000$$ $$mm^2$$

D
$$2000000$$ $$mm^2$$

Solution
Question 9
1 / -0

In the figure below, PQRS and TURV are rectangles. The lengths shown in the figure are in centimetres. If the perimeter of the unshaded rectangle TURV is 32 cm, then the value of x is:

A
2 cm

B
4 cm

C
6 cm

D
8 cm
Question 10
1 / -0

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?

A
$$24 \ cm$$

B
$$26 \ cm$$

C
$$52 \ cm$$

D
Cannot be determined

Solution

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 $$26\ cm$$.