Perimeter of Rectangles and Squares

Q.

A room $9.5m$ long and $6m$ wide is surrounded by a $1.25m$ wide verandah. Calculate the cost of cementing the floor of this verandah at $Rs.80$ per $m^2$.

Q.

A school has a hall $22m$ long and $15.5m$ wide , a carpet is laid inside the hall leaving around margin of $75cm$ from the walls. Find area of carpet and area of strip uncovered . If width of carpet is $82cm$ find its cost for $Rs.60$ per meter.

Q. If the length and breadth of a rectangle are doubled, then its perimeter ____.

1. triples
2. doubles
3. becomes 4 times
4. becomes half

Q.

The area of a square field is 1hectare.what is it perimeter

Q.

A wire is in the shape of rectangle its length is $40cm$ and breadth is $22cm$. If the same wire is given the shape of square what will be the measure of each side? Also find which rectangular or square encloses more area.

Q.

Two rectangular plots of length 40 m and width 20 m are as shown below.


What is the cost of fencing the plots (excluding the common boundary) at ₹ 4 per metre?

1. ₹ 16000

2. ₹ 1600

3. ₹ 640

4. ₹ 6400

Q.

The length of a rectangular wooden board is 24 cm. If the area of the board is 192 $c{m}^2$, find its perimeter.

1. 60 cm

2. 64 cm

3. 32 cm

4. 30 cm

Q.

Find the area of a square park whose perimeter is $320m$.

Q. What is the perimeter of the given rectangle?

1. 5a
2. 6a
3. 7a
4. 8a

Q. The cost of fencing a rectangular field is ₹ 3 per m. What will be the total cost of fencing a rectangular field of length 150 m and breadth 50 m?

1. ₹ 400
2. ₹ 1000
3. ₹ 120
4. ₹ 1200

Q.

A wire is in the shape of a square of side $10cm$. If the wire is rebent into a rectangle of length $12cm$, find its breadth. Which figure encloses more area and by how much?

Q. The perimeter of a square-shaped lawn is 96 cm. The breadth of a rectangular-shaped lawn is 16 cm. If the area of the rectangle-shaped lawn is 16 $c{m}^2$ less than the area of the square-shaped lawn, what is the perimeter of the rectangular lawn?

1. 100 cm
2. 104 cm
3. 106 cm
4. 102 cm

Q.

The area of a square park is the same as that of a rectangular park. If the side of the square park is $60m$ and the length of the rectangular park is $90m,$ find the breadth of the rectangular park.

Q.

There is a rectangular park whose length is 20 m and width is 10 m. What is the length of fence surrounding it?

1. 20 m

2. 40 m

3. 30 m

4. 60 m

Q.

Find the area, in square metres, of a rectangle whose
(i) Length $=5.5m,$ breadth $=2.4m$
(ii) Length $=180cm,$ breadth $=150cm$

Q.

A wire is in the shape of a rectangle. Its length is $40cm$ and breadth is $22cm$. If the same wire is rebent in the shape of a square, what will be the measure of each side. Also find which shape encloses more area?

Q. Fill in the blanks.

(1) Area of a rectangle = length × .............
(2) Area of a square = side × ............. (= ..........)²

Q.

Split the following shapes into rectangles and find their areas. (The measures are given in centimetres)

Q.

A square and a rectangular field with measurements as given in the figure have the same perimeter. The field with larger area is :

1. Rectangular field

2. Square field

3. Both have same area

4. All of the above

Q. A wire in the shape of rectangle whose breadth is 10 cm is bent to form a square of side 15 cm. What is the length of the rectangle?

1. 5 cm
2. 10 cm
3. 15 cm
4. 20 cm

Q. A wire is in the shape of a rectangle. Its length is 40 cm and breadth is 22 cm. If the same wire is bent in the shape of a square, what will be the measure of each side. Also, find which side encloses more area?

Q.

If a square of side 8m and a rectangle of length 12m have the same perimeter, then find the area of the rectangle(in m²)?

1. 36 m²

2. 72 m²

3. 96 m²

4. 48 m²

Q. The perimeters of a square and a rectangle are equal. If their areas be A m² and B m², then which of the following is a true statement?

(a) A < B
(b) A ≤ B
(c) A > B
(d) A ≥ B

Q. A wire in the shape of rectangle whose breadth is 10 cm is bent to form a square of side 15 cm. What is the length of the rectangle?

1. 5 cm
2. 10 cm
3. 15 cm
4. 20 cm

Q. A farmer had a rectangular plot measuring 500 m by 100 m. If he fences the plot 4 times with barbed wire, what should be the length of the wire?

1. 4800 m
2. 300 m
3. 1200 m
4. 1000 m

Q.

A rectangle has perimeter $26\text{inch}$, and the length and width are both whole numbers. What is the greatest possible area this rectangle may have in square $\text{inch}$?

Q.

The perimeter of a square of side length 15 cm will be

1. 90 cm

2. 60 cm

3. 225 mm

4. 600 mm

Q. If the length of the diagonal of a square is $12\sqrt{2}cm$, what is its perimeter?

1. 44 cm
2. 38 cm
3. 48 cm
4. 54 cm

Q. Find the cost of fencing a rectangular field of length 50 M and breadth 42m at 8 rupees per metre.

Q. The length and breadth of a rectangular courtyard is 45 m and 35 m respectively. Find the distance covered by a boy to take 10 rounds of the courtyard.
[2 Marks]