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

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

A.

6 cm

B.

7 cm

C.

8 cm

D.

9 cm

#### SOLUTION

Solution : D

Given:

The breadth of a rectangle = 7 cm
Area of the rectangle = 63 cm2

Area of a rectangle = length × breadth
63 cm2 = length × 7 cm
=63 cm27 cm
=9 cm

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.

A.

40 m

B.

60 m

C.

80 m

D.

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

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

#### 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

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

A.

16 cm2

B.

9 cm2

C.

20 cm2

D.

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

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

8 cm2

B.

10 cm2

C.

7 cm2

D.

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

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

A.

Be more than the square

B.

Same as that of the square

C.

Be less than the square

D.

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.

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

A.

9 cm2

B.

18 cm2

C.

20 cm2

D.

16 cm2

#### SOLUTION

Solution : C

Area of a rectangle = Length × Breadth

= 4 × 5

= 20 cm2

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

A.

22 cm2

B.

121 cm2

C.

88 cm2

D.

44 cm2

#### SOLUTION

Solution : B

Area of the square = Side × Side
Given: Side = 11 cm
Area = 11 cm × 11 cm = 121 cm2

Which of these is SI unit of area?

A.

Sq. m

B.

Sq. cm

C.

Sq. inch

D.

Sq. ft

#### SOLUTION

Solution : A

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

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?

A.

64 cm

B.

80 cm

C.

48 cm

D.

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