Area of a Rectangle

Q. How many trees can be planted at a distance of 6 metres each around a rectangular plot whose length is 120 m and breadth is 90 m?

Q. A marble tile measures 10 cm $\times$ 12 cm. How many tiles will be required to cover a wall of size 3 m $\times$ 4 m?

Also, find the total cost of the tiles at the rate of Rs 2 per tile.

Q.

If the area of a rectangle is 42 square cm and its length is 7 cm then its breadth is:

1. 3 cm

2. 6 cm

3. 2 cm

4. 1 cm

Q. The maximum capacity of a garbage can is 5.05 kg. Which of the following garbage bags can be stored inside the can?

1. Bag A
2. Bag B
3. Bag C
4. Cannot be determined

Q.

Question 95

Length and breadth of a bulletin board are r cm and t cm, respectively.

(i) What will be the length (in cm) of the aluminium strip required to frame the board, if 10 cm extra strip is required to fix it property.

(ii) If x nails are used to repair one board, then how many nails will be required to repair 15 such boards?

(iii) If 500 sq cm extra cloth per board is required to cover the edges, then what will be the total area of the cloth required to cover 8 such boards?

(iv) What will be the expenditure for making 23 boards, if the carpenter charges Rs. $x$ per board?

Q.

How many tiles whose length and breadth are $10cm$ and $6cm$ respectively will be needed to fit in a rectangular region whose length and breadth are $80cm$ and $30cm$ respectively $?$

Q. The perimeter of a square field is numerically equal to its area. Find each side of the square.

Q. The area of a rectangle is 3.25 square meters and its length is 2.5 centimeters. What is its breadth’?

Q.

The total cost of flooring a room at ₹ $9.40persquaremetre$ is ₹ $564.$ If the length of the room is $8metres,$ find its breadth.

Q.

Find the breadth of the rectangle whose area is $300m^2$ and length $12m$.

Q. If the area of the rectangle is 192 sq. cm, find its length.

1. 42 cm
2. 16 cm
3. 28 cm
4. 24 cm

Q.

The length of a rectangular whiteboard is 20 cm. Its area is 100 sq. cm. Find its width.

1. $10$ cm
2. $5$ cm
3. $15$ cm
4. $3$ cm

Q. A square of a side 4 cm is cut from a rectangle having a length of 20 cm and a width of 5 cm. What is the area of the remaining portion?

1. $116c{m}^2$
2. $86c{m}^2$
3. $84c{m}^2$
4. $96c{m}^2$

Q. One gallon can of paint can cover 400 square feet. The area that needs to be painted is 84, 000 square feet. Find the cost of paint if one gallon of paint costs ₹ 1200.

1. ₹ 2, 52, 000
2. ₹ 2, 00, 000
3. ₹ 3, 52, 000
4. ₹ 3, 00, 000

Q.

Find the area of the rectangle whose sides are $2mand70cm$.

Q.

A floor is 5 m 40 cm long and 3 m 75 cm wide. Find the area of the carpet required to cover the floor?

1. 20.25 sq. m

2. 20.52 sq. m

3. 20.15 sq. m

4. 20.51 sq. m

Q.

A floor is 5 m 40 cm long and 3 m 75 cm wide. Find the area of the carpet required to cover the floor?

1. 20.52 sq. m

2. 20.15 sq. m

3. 20.51 sq. m

4. 20.25 sq. m

Q. The base area of a rectangular cardboard box with length $3\frac{1}{4}$ ft and width $2\frac{1}{2}$ ft is sq ft.

1. $\frac{65}{8}$
2. $\frac{55}{6}$
3. $\frac{65}{6}$
4. $\frac{55}{6}$

Q. The perimeter of the rectangle is double that of the area of the square. Find the length of the rectangle.

1. 30 cm
2. 37 cm
3. 25 cm
4. 10 cm

Q.

Find the area of the rectangles whose adjacent sides are $3kmand4km$.

Q. If $l\&b$ are the dimensions of any rectangle, match the following with their respective area covered.

1. $15$ sq. units
2. $40$ sq. units
3. $150$ sq. units
4. $96$ sq. units

Q. If A denotes area of a rectangle, $l$ represents its length and $b$ represents its breadth find:

$b,\text{if}A=88m^2\text{and}l=11m$

Q.

Find the areas of the rectangles whose sides are:

(a) 3 cm and 4 cm (b) 12 m and 21 m

(c) 2 km and 3 km (d) 2 m and 70 cm

Q.

Length and breadth of a rectangular sheet of paper are $\text{20cm, and 10 cm}$ respectively. A square piece is cut from the sheet as shown in the figure below. Which of the following statement is correct for the remaining sheet.

1. Area remains the same but perimeter changes.

2. Perimeter remains the same but area changes

3. Both perimeter and area are changing

4. Both perimeter and area remains same.

Q. The length and the width of a rectangular plot are 18 units and 6 units respectively. Using area model, find the area of the plot. Which of the following gives the values of P and area of the plot?

1. 600 sq units, 48 sq units
2. 60 sq units, 108 sq units
3. 10 sq units, 48 sq units
4. 60 sq units, 48 sq units

Q.

The sides of rectangle are$5.4cm$ and $\_m$. Its area is $11.34cm2$

Q. Rahul is playing in a rectangular garden of length 8 metres and width 5 metres. What is the ratio of the length to the width of the garden?

1. 5:8
2. 8:13
3. 8:5
4. 13:5

Q. The area of a rectangular garden is 256 square meters. List all possible whole number dimensions that the garden can have.

Q. A worker needs to lay a 20 cm long and 9 cm wide path, how many pieces of steel slab each 10 cm long and 3 cm wide are required?

Q. The area of a rectangular garden is 256 square meters. List all possible whole number dimensions that the garden can have.