Perimeter and Area Test

Result

Perimeter and Area Test - 37

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Weekly Quiz Competition

Question 1
1 / -0

If $$\pi=\dfrac{22}{7}$$ then distance covered in the revolution (in m) of a wheel of diameter $$35cm$$willbe

A
$$2.2$$

B
$$1.1$$

C
$$9.625$$

D
$$96.25$$

Solution

Diameter of wheel$$= 35\,cm$$
∴ Radius of wheel (r)$$=\dfrac{35}{2}\,cm$$
Distance covered in $$1$$ revolution by wheel = circumference of wheel
$$= 2\pi r$$
$$= 2 \times \dfrac{22}{7} \times \dfrac{35}{2}$$
$$= 110\,cm =1.1\,m$$
Thus, option (B) is correct.
Question 2
1 / -0

The area between two concentric circles will be :

A
$$\pi R^2$$

B
$$\pi (R^2 - r ^2)$$

C
$$\pi(R^2-r)$$

D
None of these

Solution

Area of $$C_1=\pi R^2$$
Area of $$C_2=\pi r^2$$
The area between two concentric circles$$= \pi R^2 – \pi r^2$$
$$= \pi(R^2 - r^2)$$
Thus, option (B) is correct.
Question 3
1 / -0

The area of a right-angled triangle is 36 sq. cm and its base 9 cm, then the length of perpendicular will be:

A
$$8\,cm$$

B
$$4\,cm$$

C
$$16\,cm$$

D
$$32\,cm$$

Solution

Area of right angled triangle $$=\dfrac{1}{2}\times base \times height$$
$$36=\dfrac{1}{2}\times 9\times h$$
$$h=\dfrac{72}{9}$$
$$h=8\,cm$$
Question 4
1 / -0

It is given that side of a square is same as the length of rectangle. Also, the square and the rectangle both have same area, then we can conclude that

A
breadth of the rectangle $$=$$ side of the square

B
breadth of the rectangle $$\neq$$ side of the square

C
can't say anything

D
none of these

Solution
Question 5
1 / -0

What will be cost to fence a rectangular park of length $$20$$ meter and breadth $$12$$ meter at the rate of $$25$$ rupees per meter.?

A
$$Rs.$$ $$1590$$

B
$$Rs.$$ $$1690$$

C
$$Rs.$$ $$1500$$

D
$$Rs.$$ $$1600$$

Solution
Question 6
1 / -0

Diya use two types of sheets for painting, sheet $$A$$ and sheet $$B$$, where sheet $$A$$ is in the shape of rectangle and sheet $$B$$ is in the form of square. It is given that the area of both the sheets is same, then the cost of both sheets will be _____, if the cost of $$1$$ square unit is $$Rs$$. $$50$$.

A
same

B
not same

C
can't say anything

D
none of these

Solution
Question 7
1 / -0

On the basis of given figure, can we say that both the triangles $$T1$$ and $$T2$$ have same area?

A
Yes

B
No

C
Can't say anything

D
None of these

Solution
Question 8
1 / -0

Sonali wants to do fencing around a rectangular garden of length $$20$$ and breadth $$12$$. If the cost of fencing is $$12$$ rupees per $$m$$, then find the total cost of fencing for the entire garden.

A
$$Rs.$$ $$700$$

B
$$Rs.$$ $$750$$

C
$$Rs.$$ $$7600$$

D
$$Rs.$$ $$768$$

Solution
Question 9
1 / -0

Fill in the blank:
Area of the right angle triangle is half the _______ of the lengths of its legs.

A
sum

B
product

C
division

D
none of these

Solution
Question 10
1 / -0

It is given that both the triangles $$ABC$$ and $$PQR$$ as shown in figure have same area and is equals to $$24$$ square units. Can we say that both the triangles are congruent?

A
Yes

B
No

C
Can't say anything

D
None of these

Solution