Area of a Rectangle

Q.

The length of a rectangular wooden board is thrice its width. If the area of the board is 192 $c{m}^2$, find the cost of framing it at the rate of ₹5 per 20 cm.

1. ₹16

2. ₹10

3. ₹20

4. ₹22

Q.

Question 1 (i)

The length and the breadth of a rectangular piece of land are 500 m and 300 m respectively. Find:
Its area

Q. A room is 5 m 40 cm long and 3m 75cm wide. What area of carpet is needed 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.

Find the breadth of the rectangular plot of land whose area is 660 m${}^2$ and length is 33 m. Also find its perimeter.

1. 10 m, 200 m

2. 20 m, 102 m

3. 20 m, 106 m

4. 20 m, 100 m

Q.

A rectangular field is $65\text{m}$ long and $45\text{m}$ wide . Find the cost of turfing it at $₹2$per square meter . Also find the cost of fencing it at $₹4$ per meter ?

Q.

Find the total cost of fencing and ploughing a rectangular field $(16m\times 8m)$ at the rate of ₹10/m and $₹10/m^2$ respectively.

1. ₹ 1700

2. ₹ 1750

3. ₹ 1760

4. ₹ 1660

Q.

The area of a rectangular piece is 36 cm². If its width is 4 cm, find its length.

1. 26 cm

2. 4 cm

3. 9 cm

4. 12 cm

Q.

What is the cost of tiling a rectangular plot of land $150m$ long and $120m$ wide at the rate of $₹$$8$ per $m^2?$

Q.

Find the cost of ploughing a rectangular farm at the rate of ₹ 12/m² whose length is 12 m and width is 5 m.

1. Rs.120

2. Rs.720

3. Rs.360

4. Rs. 240

Q.

A rectangular field is $250m$long and $150m$ broad.Find the cost of fencing it at the rate of ₹$5permetre.$

Q. Find the area of a rectangle whose length is 56cm and width is 23cm?

Q. What is the total surface area of the cuboid shown below?

1. 200 unit square
2. 160 unit square
3. 100 unit square
4. 60 unit square

Q.

Find the cost of ploughing a field $\text{45 m}$ along and $\text{26 m}$ wide at $\text{1.50 rupees}$ per square metre. Find the cost of fencing it at $\text{3 rupees}$per metre.

Q.

The Length and the breadth of a rectangular piece of land are $500mand300m$, respectively. Find (i) Its area (ii) the cost of the land, if $1m^2$ of the land costs $₹10,000$.

Q.

The area of a rectangle can be expressed as the sum of area of two triangles.

1. True
2. False

Q.

The diagonals of a quadrilateral are 16 cm and 20 cm. If they intersect each other at right angles, then its area is _____ sq cm.

1. 240

2. 100

3. 160

4. 320

Q.

Find the cost of ploughing a rectangular farm at the rate of ₹ 12/m² , having length equal to 12 m and width equal to 5 m.

1. ₹ 120

2. ₹ 240

3. ₹ 720

4. ₹ 360

Q. Area of a rectangle and the area of a circle are equal. If dimensions of the rectangle are $14cm\times 11cm$, then radius of the circle is :___ .

Q. Find the area of a rectangle whose length is 5.7 cm and breadth is 3 cm. [1 mark]

Q.

A local park is 32 m long and its width is half its length. It has two right-triangular grass lawns as shown. The local gardener wanted to rennovate the park so he hired some men. The men agreed to work on the grass lawn at ₹ 1.2 per sq metre and also lay a new footpath around the lawns at ₹ 0.80 per sq metre. What is the total cost the gardener will have to pay after the work is done?

1. ₹​ 368.4

2. ₹​ 431.2

3. ₹​ 421.8

4. ₹​ 512

Q.

Area of a circle is 36 cm² and the area of a rectangle is $\frac{1}{6}$^th of the area of the circle. If the breadth of the rectangle is 1 cm, find its length?

Q.

A cuboid shaped locker has length, breadth and height as 50 cm, 50 cm, and 2 m respectively. It has to be secured by touch sensor system which is done at Rs. 5 per 100 sq.cm. The total cost of security arrangement is____________.

1. Rs. 2250

2. Rs. 1024

3. Rs. 1225

4. Rs. 1550

Q.

The length of a rectangular playground is $3600cm$and the width is $2500cm$. Find the cost of levelling the ground at $₹3$ per square metre.

Q. The perimeter of a rectangular sheet is $100cm$. If the length is $35cm$, then find its breadth.

1. $\text{18 cm}$
2. $\text{20 cm}$
3. $\text{10 cm}$
4. $\text{15 cm}$

Q.

Area of a square with side length of 5 cm is given by ___.

1. 25

2. 10

3. 20

4. 5

Q. $\text{Figure ABCD represents a rectangular signboard.}$
$\text{With a scale of}1in:3ft,\text{find the area of}$
$\text{the scale drawing A'B'C'D' .}$

1. 6 sq. inch
2. 10 sq. inch
3. 12 sq. inch
4. 15 sq. inch

Q.

A floor which measures $15m\times 8m$ is to be laid with tiles measuring $50cm\times 25cm$. The number of tiles required is ___

1. 1000

2. 960

3. 920

4. 900

Q.

A car's number plate was to be painted equally in blue and red as shown in the figure. What will be the total cost of painting the car's number plate if the red paint costs Rs 2 per $c{m}^2$ and the blue paint costs Re 1 per $c{m}^2$?

1. Rs. 300

2. Rs. 350

3. Rs. 360

4. Rs. 420

Q.

The area of the rectangle with length 11 cm and width equal to half its length will be

1. 22 cm²

2. 33 cm

3. 60.5 cm

4. 60.5 cm²

Q.

The area of a rectangle whose length is 11 cm and width equal to half its length will be

1. 33 cm

2. 60.5 cm

3. 22 cm²

4. 60.5 cm²