Question

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Answer 1

Answers:

Find the perimeters of the following figures:

a. A square with side 21 cm.

Side [a] = 21 cm

Perimeter of a square = 4a

= 4 x 21

= 84 cm

b. A triangle with sides 50 cm, 66 cm and 72 cm.

Side, a = 50 cm

Side, b = 66 cm

Side, c = 72 cm

Perimeter of a scalene triangle = a + b + c

= 50 + 66 + 72

= 188 cm

c. A circle of radius 6.3 m.

Radius = 6.3 m

Perimeter of a circle = Circumference = 2πr

π = 22/7

$\sf{=2\times\dfrac{22}{7}\times6.3}$

= 39.6 m

d. A rectangle of length 8.9 m and breadth 4.6 m.

Length = 8.9 m

Breadth = 4.6 m

Perimeter of rectangle = 2 (l + b)

= 2 x (8.9 + 4.6)

= 2 x 13. 5

= 27 m

e. A triangle with sides 0.5 m, 1.5 m and 0.25 m.

Side, a = 0.5 m

Side, b = 1.5 m

Side, c = 0.25 m

Perimeter of scalene triangle = a + b + c

= 0.5 + 1.5 + 0.25

= 2.25 m

f. A circle with diameter 8.4 m.

Diameter = 2 x radius

8.4 m = 2 x radius

Radius = 8.4/2 = 4.2 m

Circumference of circle = 2πr

$\sf{=2\times\dfrac{22}{7}\times4.2}$

= 26.4 m

Final Answers:

a. 84 cm

b. 188 cm

c. 39.6 m

d. 27 m

e. 2.25 m

f. 26.4 m

Formulae Used:

→ Perimeter of a square = 4a

→ Perimeter of a rectangle = 2 (l + b)

→ Perimeter of a scalene triangle = a + b + c

→ Circumference of circle = 2πr

Answer 2

Answer:

a= 84 cm

b=188 cm

c= 39.6 cm

d= 27 cm

e= 2.25 cm

f= 26.4 cm

Step-by-step explanation:

a= we know that perimeter of square is 4×side

side=21 cm

perimeter= 4×side

= 4×21 cm

= 84 cm

b= perimeter of triangle =Sum of all sides

= A+B+C

= 50cm+66cm+72cm

= 188 cm

c= perimeter of circle= 2 pi r

r=6.3m

2 pi r = 2×22/7×6.3m

= 39.6 m (when we will divide them)

d= perimeter of rectangle=2×(length+breadth)

length=8.9 m, Breadth=4.6 m

2×(length+breadth) = 2×(8.9m+4.6m)

= 2×13.5 m

= 27m

e= perimeter of triangle= Sum of all sides

=A+B+C

= 0.5m+1.5m+0.25m

= 2.25 m

f= It is some different question

Here diameter is given, not radius

To find radius, we will used formula-

r=d/2 (because radius is half of diameter)

r=d/2

r = 8.4m/2

r= 4.2m

perimeter of circle= 2 pi r

r=4.2m ( Half of diameter(8.4m))

2 pi r

= 2×22/7×4.2m

= 26.4 m

So answers are

a=84 cm

b= 188 cm

c= 39.6 m

d= 27 m

e=2.25 m

f= 26.4 m