The breadth of a rectangle whose length is 12 cm and perimeter is 36 cm is

1

(a)

6 cm

(b)

3 cm

(c)

9 cm

(d)

12 cm

A wire is bent to form a square of side 22 cm. If the wire is rebent to form a circle. Then the Area of the circle is

1

(a)

196 cm²

(b)

212 cm²

(c)

616 cm²

(d)

644 cm²

Area of shaded portion in the following figure is

1

(a)

25 cm²

(b)

15 cm²

(c)

10 cm²

(d)

12 cm²

If the sides of a parallelogram are increased to twice of its original lengths, how much will the perimeter of the new parallelogram?

1

(a)

1.5 times

(b)

2 times

(c)

3 times

(d)

4 times

The area of a circle of radius r is:

1

(a)

\(\pi\)r²

(b)

2\(\pi\)r²

(c)

2\(\pi\)r

(d)

4\(\pi\)r²

Area of the square MNOP of following figure is 144 cm². Area of each triangle is ________.

1

(a)

18 cm.

1 hectare = ............. cm² .

1

(a)

100000000

All the congruent triangles have ................ area.

1

(a)

equal

10 cm² = .........m²

1

(a)

0.001

1 hectare =_______ m².

1

(a)

10000

The area of a square of side 5 cm is 30 cm.

1

(a) True

(b) False

The perimeter of a triangle of sides 20 cm, 12 cm, 16 cm is 48 cm.

1

(a) False

(b) True

The area of a parallelogram is 550 m² and its base is 55 m and height is 10 m.

1

(a) False

(b) True

Ratio of circumference of a circle to its radius is always 2\(\pi\): 1.

1

(a) False

(b) True

Two figures can have the same areas, but different perimeters.

1

(a) False

(b) True

The circumference of two circles are in the ratio 5 : 6. Find the ratio of their radius.

1

(a)

\(\frac { 2\pi r }{ 2\pi R } \)=\(\frac { 5 }{ 6 } \)
\(\Rightarrow \frac { r }{ R } =\frac { 5 }{ 6 } \)
\(\therefore \) ratio is 5 : 6

The radius of a circle is 1 cm. What is its circumference?

1

(a)

Circumference = 2\(\pi\)r
= 2\(\pi\)(1)
= 2\(\pi\)cm

The perimeter of an isosceles triangle is 16cm. If each of the equal sides is 6 em, then what is the length of its base?

1

(a)

4 cm

If the perimeter of a square is 26 cm, then what is the length of its side?

1

(a)

6.5 cm

What is the area of a semi-circle of radius 'r ' cm?

1

(a)

\(\frac{\pi{r}^2}{2}\)

Find the area of the following rectangle whose Length = 15 cm and breadth= 8 cm.

2

(a)

How much plastic sheet do you need to cover a rectangular swimming pool?

2

(a)

The area of a rectangle is 540 cm². If its length is 27 cm, then find its width and its perimeter.

2

(a)

Find the area of the following triangles

2

(a)

Find the area of parallelogram 

2

(a)

The length and the breadth of a rectangular piece of land are 500 m and 300 m, respectively. Find the cost of the land, if 1m² of the land costs Rs 10000.

3

(a)

Consider the following parallelogram:

Find the areas of the parallelograms by counting the squares enclosed within the figures and also find the perimeters by measuring the sides.
Complete the following table:

Parallelogram	Base	Height	Area	Perimeter
(b)	5 units	3 units	5 x 3 = 15 sq units

3

(a)

A rectangular park is 40 m long and 25 m wide. A path  2.5 m wide is constructed outside the park. Find the area of the path.

3

(a)

The area of a rhombus is 96 cm². If one of its diagonals is 12 em, then find the perimeter of the rhombus.

3

(a)

A rectangular metal plate is 7 cm long and 5 cm wide. Find the cost of the plate at the rate of Rs 75 per sq cm.

3

(a)

1. A hedge boundary needs to be planted around a rectangular lawn of size 72 m x 18 m. If 3 shrubs can be planted in a metre of hedge, how many shrubs will be planted in all?

   5

   (a)

2. In the following figure, ABCD is a square with AB = 15 cm. Find the area of the square BDFE.
   

   5

   (a)

1. A square park has each side 50 cm. At each corner of the park, there is a flower bed in the form of a circle whose radius 7 m, as shown in the figure, find the area of remaining part of two park.
   

   5

   (a)

2. Find the height of the wall whose length is 4 m and which can be covered by 2400 tiles of size 25 cm by 20cm.

   5

   (a)