# Free Perimeter and Area 02 Practice Test - 4th Grade

### Question 1

If the area of a rectangle is 63 cm2 and its breadth is 7 cm, then find its length.

6 cm

7 cm

8 cm

9 cm

#### SOLUTION

Solution :D

Given:

The breadth of a rectangle = 7 cm

Area of the rectangle = 63 cm2Area of a rectangle = length × breadth

63 cm2 = length × 7 cm

length =Areabreadth

=63 cm27 cm

=9 cm

### Question 2

Ali runs along the sides of a square park whose side is 10 m long. Find the distance covered by Ali if he ran around the park twice.

40 m

60 m

80 m

100 m

#### SOLUTION

Solution :C

Given: Side of the Square = 10 m

Since Ali is running around the park, he runs along the boundary i.e. the perimeter of the park.

Perimeter of a square = 4 × Side

= 4 × 10 m

= 40 m

Distance covered by Ali in two rounds of the park = 2 × Perimeter

= 2 × 40 m

= 80 m

### Question 3

The perimeter of a square is 40 cm. The length of its side is

#### SOLUTION

Solution :Given that

Perimeter of the square = 40 cm

Perimeter of a square = 4 × Side

⇒40 cm=4×Side

Side =40 cm4=10 cm

### Question 4

The perimeter of a square is 12cm. What will be its area?

16 cm2

9 cm2

20 cm2

4 cm2

#### SOLUTION

Solution :B

Perimeter of a square = 4 × Side

Given: Perimeter = 12 cm

⇒ 12 cm = 4 × Side

⇒ Side = 124 = 3 cm

The area of a square = side × side

=3 cm × 3 cm

= 9 cm2

### Question 5

In the given figure, if the area of one rectangle is 1 cm2, then what is the area of the shaded region?

8 cm2

10 cm2

7 cm2

20 cm2

#### SOLUTION

Solution :C

In the given figure, we have 7 rectangles that are shaded.

Since, area occupied by each rectangle = 1 cm2

Therefore, area occupied by 7 rectangles (shaded region) = 7×1 cm2 = 7 cm2

### Question 6

If a square is cut along its diagonal into two triangles, what is the sum of perimeters of those two triangles?

Be more than the square

Same as that of the square

Be less than the square

the perimeter of one triangle

#### SOLUTION

Solution :A

It will be more than the perimeter of square because in the case of square, we consider 4 sides but in the case of triangle, we have 6 sides to consider since each triangle has 3 sides.

### Question 7

The length and breadth of a rectangle is 4cm and 5cm respectively. What is its area?

9 cm2

18 cm2

20 cm2

16 cm2

#### SOLUTION

Solution :C

Area of a rectangle = Length × Breadth

= 4 × 5

= 20 cm2

### Question 8

What will be the area of a square of side 11 cm?

22 cm2

121 cm2

88 cm2

44 cm2

#### SOLUTION

Solution :B

Area of the square = Side × Side

Given: Side = 11 cm

∴ Area = 11 cm × 11 cm = 121 cm2

### Question 9

Which of these is SI unit of area?

Sq. m

Sq. cm

Sq. inch

Sq. ft

#### SOLUTION

Solution :A

The metre is the SI unit and hence, sq. m is in the SI units of area.

### Question 10

A girl has four squares of side 8 cm. What will be the perimeter of the largest rectangle that can be formed using these four small squares?

64 cm

80 cm

48 cm

56 cm

#### SOLUTION

Solution :B

There are 4 squares of side 8 cm.

When we keep the squares next to each other, the length of the side will be 8×4 = 32 cm and the breadth will be 8 cm.

Hence, it will form a rectangle of length 32 cm and breadth of 8 cm.

∴ perimeter of the rectangle

= 2(length + breadth)

= 2(32 + 8)

= 80 cm