Very Short Answer Type Questions :-
1. The side of an equilateral triangle is 4 cm. What is its perimeter?
2. The perimeter of an equilateral triangle is 18 cm. What is length of its side?
3. The perimeter of an isosceles triangle is 14 cm. If each of the equal sides is 5 cm, then what is the length of its base?
4. Each of the equal sides of an isosceles triangle is 4 cm. What is its base if its perimeter is 13 cm?
5. The perimeter of a square is 24 cm. What is the length of its side?
6. If the side of a square is 8 cm long, what is its perimeter?
7. If the perimeter of a square is 26 cm, then what is the length of its side?
8. If the side of a square is 10.5 cm, then what is its perimeter?
9. The length and breadth of a rectangle are 12 cm and 8 cm respectively. What is its perimeter?
10. The perimeter of a rectangle is 20 cm. If its breadth is 4.5 cm, then what its length?
11. The length of a rectangle is twice its breadth. If its perimeter is 18 cm, then what is its breadth?
12. If the breadth and perimeter of a rectangle are 2 cm and 14 cm respectively. Find its length.
Answers
Answers:
1) Side of the equilateral triangle = 4 cm
Perimeter = 3a
= 3 x 4 = 12 cm
2) Perimeter of equilateral triangle = 18 cm
Side = Perimeter/3
= 18/3 = 9 cm
3) Total perimeter of the isosceles triangle = 14 cm
Measure of each equal side = 5 cm
So, measure of the base = 14 - (5 + 5)
= 14 - 10 = 4 cm
4) Total perimeter of the isosceles triangle = 13 cm
Measure of each equal side = 4 cm
So, measure of base = 13 - (4 + 4)
= 13 - 8 = 5 cm
5) Perimeter of a square = 4a
Given perimeter = 24 cm
So, 4a = 24 cm
Therefore, side a = 24/4 = 6 cm
6) Length of one side = 8 cm
Perimeter = 4a
So, perimeter = 4 x 8 = 32 cm
7) Perimeter of a square = 4a
Given perimeter = 26 cm
So, 4a = 26
Therefore, a = 6.5 cm
8) Measure of side, a = 10.5 cm
Perimeter = 4a
So, perimeter = 4 x 10.5 = 42 cm
9) Perimeter = 2 (l + b)
Length = 12 cm
Breadth = 8 cm
Perimeter = 2 (12 + 8)
= 2 x 20 = 40 cm
10) Perimeter of rectangle = 2 (l + b)
Perimeter = 20 cm
Breadth = 4.5 cm
2 (l + 4.5) = 20 cm
2l + 9 = 20 cm
2l = 20 - 9 = 11
l = 11/2 = 5.5 cm
11) Let the breadth of the rectangle be x
Length = 2x
Perimeter = 2 (l + b) = 18 cm
2 (x + 2x) = 18 cm
2 x 3x = 18 cm
6x = 18
x = 18/6 = 3
Hence breadth = 3 cm
12) Perimeter = 2 (l + b) = 14 cm
Breadth = 2 cm
2 (l + 2) = 14 cm
2l + 4 = 14 cm
2l = 14 - 4 = 10 cm
l = 10/2 = 5 cm
Final Answers:
1) 12 cm
2) 9 cm
3) 4 cm
4) 5 cm
5) 6 cm
6) 32 cm
7) 6.5 cm
8) 42 cm
9) 40 cm
10) 5.5 cm
11) 3 cm
12) 5 cm
Answer ::
1. The side of an equilateral triangle is 4 cm. What is its perimeter?
Step-by-step explanation :-
As we know that,
Perimeter of an equilateral triangle = 3 × side,
Therefore, the perimeter is,
➟ 3 × side
➟ 3 × 4
➟ 12
The perimeter of the triangle is 12cm.
2. The perimeter of an equilateral triangle is 18 cm. What is length of its side?
Step-by-step explanation :-
As we know that,
Perimeter of an equilateral triangle = 3 × side,
Therefore, the side is,
➟ 3 × side = Perimeter
➟ 3 × side = 18
➟ side = 18 / 3
➟ side = 6
The side of triangle is 6cm.
3. The perimeter of an isosceles triangle is 14 cm. If each of the equal sides is 5 cm, then what is the length of its base?
Step-by-step explanation :-
As we know that,
Perimeter of an isosceles triangle = 2s + b,
Where,
- 2s = 2 equal sides
- b = base
Therefore, the length of base is,
➟ 2*5 + b = 14
➟ 10 + b = 14
➟ b = 14 - 10
➟ b = 4
The length of the base is 4cm.
4. Each of the equal sides of an isosceles triangle is 4 cm. What is its base if its perimeter is 13 cm?
Step-by-step explanation :-
As we know that,
Perimeter of an isosceles triangle = 2s + b,
Where,
- 2s = 2 equal sides
- b = base
Therefore, the length of base is,
➟ 2s + b = 13
➟ 2*4 + b = 13
➟ 8 + b = 13
➟ b = 13 - 8
➟ b = 5
The length of the base is 5cm.
5. The perimeter of a square is 24 cm. What is the length of its side?
Step-by-step explanation :-
As we know that,
Perimeter of square = 4 × side,
Therefore, the side is,
➟ 4 × side = 24
➟ side = 24 / 4
➟ side = 6
The side of the square is 6cm.
6. If the side of a square is 8 cm long, what is its perimeter?
Step-by-step explanation :-
As we know that,
Perimeter of square = 4 × side,
Therefore, the perimeter is,
➟ 4 × side
➟ 4 × 8
➟ 32
The perimeter of square is 32cm.
7. If the perimeter of a square is 26 cm, then what is the length of its side?
Step-by-step explanation :-
As we know that,
Perimeter of square = 4 × side,
Therefore, the side of square is,
➟ 4 × side = 26
➟ side = 26 / 4
➟ side = 6.5
The side of square is 6.5cm.
8. If the side of a square is 10.5 cm, then what is its perimeter?
Step-by-step explanation :-
As we know that,
Perimeter of square = 4 × side,
Therefore, the perimeter is,
➟ 4 × 10.5
➟ 42
The perimeter of square is 42cm.
9. The length and breadth of a rectangle are 12 cm and 8 cm respectively. What is its perimeter?
Step-by-step explanation :-
As we know that,
Perimeter of rectangle = 2 ( Length + Breadth ),
Therefore, the perimeter is,
➟ 2 ( 12 + 8 )
➟ 2*20
➟ 40
The perimeter of rectangle is 40cm.
10. The perimeter of a rectangle is 20 cm. If its breadth is 4.5 cm, then what its length?
Step-by-step explanation :-
As we know that,
Perimeter of rectangle = 2 ( Length + Breadth ),
Therefore, the length is,
➟ 2 ( Length + 4.5 ) = 20
➟ Length + 4.5 = 20 / 2
➟ Length + 4.5 = 10
➟ Length = 10 - 4.5
➟ Length = 5.5
The length of rectangle is 5.5cm.
11. The length of a rectangle is twice its breadth. If its perimeter is 18 cm, then what is its breadth?
Step-by-step explanation :-
Let us assume the length as 2x and the breadth as x,
As we know that,
Perimeter of rectangle = 2 ( Length + Breadth ),
Therefore, the breadth is,
➟ 2 ( 2x + x ) = 18
➟ 2x + x = 18 / 2
➟ 3x = 9
➟ x = 9 / 3
➟ x = 3
ACCORDING THE QUESTION,
The breadth is,
➟ x
➟ 3 cm
The breadth is 3cm.
12. If the breadth and perimeter of a rectangle are 2cm and 14 cm respectively. Find its length.
Step-by-step explanation :-
As we know that,
Perimeter of rectangle = 2 ( Length + Breadth ),
Therefore, the length is,
➟ 2 ( Length + 2 ) = 14
➟ Length + 2 = 14 / 2
➟ Length + 2 = 7
➟ Length = 7 - 2
➟ Length = 5
The length is 5cm.