Area of Rectangular Pathways

Q.

Find the perimeter of the given figure.

1. 30 m

2. 11 m

3. 19 m

4. 31 m

Q.

The figure shows two paths drawn inside a rectangular field 60 m long and 30 m wide. If the width of each path is 5 m, then the area of the shaded portion is ___ sq. m.

1. 475

2. 450

3. 425

4. 400

Q.

Find the area of the 1.5 m wide pathways (green) if length of the outer rectangle is twice its breadth which is equal to 6 m (in $c{m}^2$).

1. 24.75

2. 247500

3. 27

4. 270000

Q.

A path of uniform width 2 m runs around the inside of a square garden of side 11 m.The area of the path is_____ sq cm.

1. 73

2. 72

3. 77

4. 75

Q.

2 m wide path is built along the border and inside a square garden of side 11 m. The area of the path is_____.

1. 73

2. 72

3. 75

4. 77

Q. Find the perimeter and area of a garden with measures as shown in the figure alongside.

Q.

Before a cricket match the officials wanted to check the distance of the boundary from the centre of the pitch, given that the ground is circular in shape. The entire boundary length is 628 m. Find its area in $m^2$ . Take $\pi$=3.14. [3 MARKS]

Q. ABCD is a rectangle having length 30 cm and breadth 25 cm. P, Q, R and S are the midpoints of AB, BC, CD and AD respectively. What is the area of the shaded part?

1. $375c{m}^2$
2. $475c{m}^2$
3. $425c{m}^2$
4. $375m^2$

Q.

The rate of planting the grass is Rs.$x$ per $m^2$. Find the cost of planting the grass on a triangular lawn whose base is $y$ metres and height is $z$ metres.

Q.

The side of the bigger square is 30 cm and the side of the smaller square is 15 cm. What is the area of the orange colored part?

1. $60m^2$
2. $225m^2$
3. $900c{m}^2$
4. $675c{m}^2$

Q.

If the edge length of a square is 'a' unit, the area of the square is ___ square units.

1. 2a
2. 1 $a^2$
3. $a^2$

4. 1 unit

Q.

2 m wide path is built along the border and inside a square garden of side 11 m. The area of the path ( in $m^2$ ) is _____.

1. 73

2. 77

3. 72

4. 75

Q. A local park is 32 m long and its width is half of the length. It has two right-triangular grass lawns with the following dimensions. The local gardener wanted to renovate the park so he hired some men. The men agreed to work on the grass lawn at ₹​ 1.2 per sq metre and put new footpath at ₹ 0.80 per sq metre. What is the total cost the gardener will have to pay after the work is done?

1. ₹​ 421.8
2. ₹​ 512
3. ₹​ 431.2
4. ₹​ 368.4

Q.

If the edge length of a square is $a$ unit, the area of the square is ___ square units.

Q.

Find the area of the 1.5 m wide pathways (green) if length of the outer rectangle is twice its breadth which is equal to 6 m (in $c{m}^2$).

1. 24.75

2. 247500

3. 27

4. 270000

Q.

The figure shows two paths drawn inside a rectangular field 60 m long and 30 m wide. If the width of each path is 5 m, then the area of the shaded portion is ___ sq. m.

1. 475

2. 450

3. 425

4. 400

Q. The flooring of a house is to be done with square tiles each having side length of 10 cm. The house has 4 rooms. Two rooms are rectangular in shape with length as 3 m and breadth as 1.5 m and the other two rooms are in the shape of a square with each side as 2 m.
Find the number of tiles to be used in total.

Q. A local park is 32 m long and its width is half of the length. It has two right-triangular grass lawns with the following dimensions. The local gardener wanted to renovate the park so he hired some men. The men agreed to work on the grass lawn at ₹​ 1.2 per sq metre and put new footpath at ₹ 0.80 per sq metre. What is the total cost the gardener will have to pay after the work is done?

1. ₹​ 431.2
2. ₹​ 368.4
3. ₹​ 421.8
4. ₹​ 512

Q.

The area of the given figure (all dimensions are in units) will be ___ .

1. 66 sq.units

2. 90 sq.units

3. 93 sq.units

4. 94 sq.units

Q. A rectangular park measuring 12 m by 8 m is to be bordered by external path which is 2 m wide. Find the area of the path.

1. $96m^2$
2. $192m^2$
3. $92m^2$
4. $144m^2$

Q.

Find the area of the 1.5 m wide pathways (green) if length is twice of breadth which is equal to 6 m (in square cm).

1. 24.75

2. 247500

3. 27

4. 270000

Q.

The area of the given figure (all dimensions are in units) will be ___ .

1. 94 sq.units

2. 66 sq.units

3. 90 sq.units

4. 93 sq.units