Area of a Rectangle

Q.

A rectangular plot $30m$ long and $18m$ wide is to be covered with grass leaving $2.5m$ all around it. Find the area to be laid with grass.

Q.

The area of the triangle is equal to the area of the rectangle as shown in the figure.. The height of the triangle is H and base is B.Length of the rectangle = B. find its breadth.

1. $\frac{H}{2}$

2. $H$

3. $2H$

4. $\frac{H}{3}$

Q.

A lawn 20m by 15m is surrounded by a path 2m wide. Area of the path is

1. 300 m²

2. 756 m²

3. 156 m²

4. 456 m²

Q.

Question 77

Rectangle MNOP is made up of four congruent rectangles. If the area of one of the rectangles is $8m^2$ and breadth is 2 m, then find the perimeter of MNOP?

Q.

Two cross roads, each of width $10m$, cut at right angles through the centre of a rectangular park of length $700m$ and breadth $300m$ and parallel to its sides. Find the area of the roads. Also find the area of the park excluding cross roads. Give the answer in hectares.

Q. Question 1 (i)
A plastic box 1.5 m long, 1.25 m wide and 65 cm deep, is to be made. It is to be open at the top. Ignoring the thickness of the plastic sheet, determine:
(i)The area of the sheet required for making the box.

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.

Find the total area of a metal sheet which is in the form of a square of side $5m$.

1. $25m^2$
2. $55m^2$
3. $20m^2$
4. $10m^2$

Q.

Find the area of a rectangle whose length is $5xy$ units and breadth is $8x{y}^2$ units.

1. $40x^2$$y^3$ square units

2. $40x{y}^3$ square units

3. $40x^2$$y^2$ square units

4. $40xy$ square units

Q. Question 6

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

(a) 21 cm
(b) 10.5 cm
(c) 14 cm
(d) 7 cm

Q.

Two circles touch each other externally. The sum of their areas is $\left(106\pi \right)c{m}^2$ and the distance between their centers is 14 cm. Find the sum diameters of the circles.

1. 14 cm

2. 15 cm

3. 28 cm

4. 30 cm

Q.

The sides of a rectangle are in the ratio of $6:5$ and its area is $750m^2.$ Find the perimeter of rectangle (in $m$).

1. 120

2. 110

3. 122

4. None of these

Q.

The area of a rectangle is x² + 9x + 14, what are the dimensions of rectangle if x = 2.

1. 6 and -6

2. 18 and 2

3. 9 and 4

4. 14 and 2

Q.

Find the area of the orange colored part. The measure of the side of outer and inner square is 30 cm and 15 cm, respectively.

Q.

Raj is living in a big room. The dimension of the room is 15.6 m x 19.5 m. He wants to cover the floor with the tiles, each of them measuring 120 cm x 150 cm. Find the exact number of tiles required by Raj to cover the floor.

1. 169

2. 70
3. 100
4. 269

Q.

ABCD is a rhombus If area $\left(ABCD\right)=24c{m}^2$ and AC=8 cm, find the measure of the side of the rhombus.

1. 48

2. 36

3. 72

4. 96

Q. Question 5
A rhombus shaped field has green grass for 18 cows to graze. If each side of the rhombus is 30m and its longer diagonal is 48m, how much area of grass field will each cow be getting?

Q.

Find the area of a gm whose base and the corresponding altitude are 12 cm & 5 cm long, respectively.

1. 120 sq. cm

2. 15 cm

3. 60 sq. cm

4. 30 sq. cm

Q.

Find the area of the equilateral triangle given below:

Given: AD=10 cm.

1. $\frac{100}{3}\sqrt{3}c{m}^2$

2. $100c{m}^2$

3. $10\sqrt{3}c{m}^2$

4. $25\sqrt{3}c{m}^2$

Q.

Find the area of the 1.5 m wide pathway (green) if length is twice the breadth. Breadth is equal to 6 m..

1. $270m^2$

2. $247m^2$

3. $24.75m^2$

4. $27m^2$

Q.

A square centimeter is the area of the region formed by a square of side _____

Q.

The area of a rectangle whose length is 20 m and breadth is 7.5 m is ___ sq m.

Q.

The sides of a rectangle are in the ratio 7:3. If its area is 7581 m², find its perimeter.

1. 680 m

2. 380 m

3. 570 m

4. 190 m

Q.

A rectangle is called congruent to a square of side 5 cm provided

1. The adjacent sides of the rectangle are each of length 5 cm

2. The sides of the rectangle are of length 10 cm

3. The perimeter of the rectangle is 20 cm

4. The area of the rectangle is 40 sq cm

Q.

The length and breadth of a rectangular area are $10mand20m$ respectively. Find its area. (in sq. m).

Q.

A magazine charges $₹40persq.cm$ area for advertising. A company decided to order a half page advertisement. If each page of the magazine is $16cm\times 26cm,$ what amount will the company have to pay for it ?

Q. A rectangle has adjacent sides 8 cm and 6 cm. The perimeter of the square is equal to the perimeter of this rectangle find the difference between the area of the square and that of rectangle.

Q.

The painter charged ₹ 5 per $m^2$ to paint the wall, as shown in the figure. Calculate the area to be painted and the money to be paid to the painter,

if the dimensions of the door is $3m\times 2m$ and that of the wall is $8m\times 8m$.

1. $64m^2,₹320$

2. $58m^2,₹290$

3. $60m^2,₹300$

4. $55m^2,₹275$

Q.

Find the cost of putting grass beds on a pathway having area of 200 square meters at 0.1 paise per square cm.

1. ₹ 200

2. ₹ 20

3. ₹. 2000

4. ₹ 20000

Q.

Find the area of the hexagon given below:

1. $51\sqrt{3}c{m}^2$

2. $52\sqrt{3}c{m}^2$

3. $53\sqrt{3}c{m}^2$

4. $54\sqrt{3}c{m}^2$