Area of Rectangle

Q.

The length of a side of a square whose area is $441$ sq cm is

1. $21$ cm

2. $29$ cm

3. $11$ cm

4. $31$ cm

Q. The area of a rectangle is 102 sqcm. If its length is 17 cm, what is its perimeter ?

Q. The length and breadth of a rectangular piece of land are in the ratio 5:2. If the total cost of fencing it at Rs.12.5 per metre is Rs.25000, find its length and breadth.

Q. Question 32

What is the radius of the largest circle that can be cut out of the rectangle measuring 10 cm in length and 8 cm in breadth?

(a) 4 cm
(b) 5 cm
(c) 8 cm
(d) 10 cm

Q. What is the area of the given figure?

1. 3296 $m^2$
2. 3196 $m^2$
3. 2296 $m^2$
4. 3064 $m^2$

Q.

A painting $40cm$ long and $28cm$ wide is pasted on a cardboard such that there is a margin of $2cm$ along each of its sides. Find the area of the margin.

Q. The area of a rectangle is 96 $c{m}^2$. If the breadth of the rectangle is 8 cm then what is its perimeter?

1. 40 cm
2. 50 cm
3. 60 cm
4. 80 cm

Q.

The length of the rectangle whose area is 320 sq m and breadth is 16 m is ______ .

1. 20 m

2. 15 m

3. 10 m

4. 18 m

Q. The length and breadth of the rectangle park are in the ratio 5 : 4 and its area is 2880 $m^2$, find the cost of fencing the park at the rate of Rs. 5 per metre.

1. Rs. 1000
2. Rs. 1050
3. Rs. 1080
4. Rs. 2000

Q.

The dimensions of a rectangle ABCD are $51cm\times 25cm$. A trapezium with its parallel sides QC and PD in the ratio 9:8, is cut of from the rectangle as shown in figure. If the area of the trapezium PQCD is $\frac{5}{6}$ the area of the rectangle, find the lengths QC and PD.

1. QC = 54cm, PD = 48cm

2. QC = 45cm, PD = 40cm

3. QC = 36cm, PD = 32cm

4. QC = 81cm, PD = 72cm

Q.

A rectangular piece whose dimensions are $3cm\times 2cm$ was cut from a rectangular sheet of paper of dimensions $6cm\times 5cm$. The area of the remaining sheet of paper is :

1. $30c{m}^2$

2. $36c{m}^2$

3. $24c{m}^2$

4. $22c{m}^2$

Q.

The perimeter of a rectangular plot of land is 240m and it's length is 63m find the breadth and area of the plot

Q.

The length and breadth of a rectangle are in the ratio 6 : 5 and its perimeter is 110 m. The area of the rectangle is ___ $c{m}^2$

1. 650

2. 700

3. 750

4. 800

Q. The length of a rectangle is 6 cm and the breadth is 4 cm. If the length of another rectangle is 2 cm more than the first rectangle, how less is its breadth compared to the first rectangle, so that the new rectangle has the same area as the first one?

1. 1 cm
2. 2 cm
3. 3 cm
4. 4 cm

Q.

A $1.5m$ wide footpath runs all along the fence outside a park $40m$ long and $30m$ wide. What is the perimeter of the fence and what is the area of the footpath?

Q.

The measurements in the given figure are in cm.


What is its area?

1. $200c{m}^2$

2. $186c{m}^2$

3. $210c{m}^2$

4. $196c{m}^2$

Q.

Calculate the area of a rectangle whose length and breadth are 16 cm and 6 cm respectively.

1. Rs. 214

2. Rs. 238

3. Rs. 218

4. Rs. 228

Q. A circular park encloses an area 5544m square . Find the he cost of fencing the park at the rate of ₹20 per metre

Q.

On Diwali, Ted’s mom made a colorful rangoli as shown in the figure. The bigger square measured 30 cm by 30 cm and the smaller square measured 15 cm by 15 cm. What was the area of the orange coloured part?

1. 675 cm²

2. 825 cm²

3. 1125 cm²

4. 375 cm²

Q.

A rectangular floor has dimensions $35m\times 20m.$ If the floor is covered with tiles of dimension $25cm\times 20cm,$ then the number of tiles used is ___

1. 14, 500

2. 14, 000

3. 13, 500

4. 13, 500

Q. How many envelopes can be made out of a sheet of paper 200 cm by 150 cm, supposing 1 envelope requires 15 cm by 10 cm piece of paper?

1. 100
2. 150
3. 200
4. 250

Q.

A rectangular room is $9m$ long and $6m$ wide. Find the cost of covering the floor with carpet $2m$ wide at $₹35permetre$.

$\left[\mathit{H}\mathit{i}\mathit{n}\mathit{t}\mathbf{.}Lengthofcarpet=\frac{areaofroom}{widthofcarpet}\right]$

Q.

What is the example of a formula?

Q. A square flowerbed is surrounded by a path 10 cm wide around it. If the area of the path is 2000 cm${}^2$, find the area of the square flower-bed.

Q.

Find the cost of painting the square wall of side $5\text{cm}$. If the rate of painting is $₹25/c{m}^2$.

Q. The dimensions of a window are given below.The width of the window is m.

1. 1/2
2. 1/3
3. 1/4
4. 1/5

Q.

Find the length of a playground whose area is $675$sq m and breadth is $15$m.

Q.

What is the cost of painting the wall at the rate of ₹5 per square meter?(The dimensions of the door are b = 2.4 m and h = 1.2 m. and the total area inclusive of the door is equal to (8 m $\times$ 4 m)

1. ₹155.60

2. ₹158

3. ₹152.8

4. ₹100

Q. Which of the following statements are true and which are false;
(i) All squares are congruent.
(ii) If two squares have equal areas, they are congruent.
(iii) If two rectangles have equal area, they are congruent.
(iv) If two triangles are equal in area, they are congruent.

Q.

A rectangular park is having a grass field of 18 cm long and 15 cm wide such that there is a path of 1.5 cm along each of its sides extending outside on each side of the park. The area of the path is 108 ​$c{m}^2$.​

1. True

2. False