Question

The perimeter of a pentagon is 28cm. The length of its four sides are 45 mm , 10cm4mm , 5cm

6mm , 35mm. Find the length of its fifth side?​

Answer 1

Answer:

4cm

Step-by-step explanation:

perimeter is the sum of the length of the total outer boundary

perimeter of Pentagon=sum of all sides

28=4.5+10.4+5.6+3.5+fifth side

(here I have used 1cm=10mm

I divided mm by 10 to convert it to cm)

28=24+fifth side

28-24=4cm=fifth side

Answer 2

Before, finding the answer. Let's find out how we can find the answer.

• In this question, we are asked to find the fifth side of the pentagon.
• So, to find the fifth side, we must first convert the side which is in mm to cm.
• Then, we have to add all the other sides.
• At last, we have to subtract the perimeter of the pentagon with the values of the side.

_________________

Given :

• Perimeter of Pentagon = 28 cm
• Four sides = 45 mm, 10cm, 4mm, 5cm , 6mm, 35mm.

To find :

• the length of its fifth side

Solution :

• Let's first convert the side from mm to cm.

[1 cm = 10 mm]

⇒ 45 mm = 45/10

     = 4.5 cm

⇒ 10 cm 4 mm = 4/10

      = 0.4 cm

10 + 0.4 = 10.4 cm

⇒ 6 mm = 6/10

      = 0.6 cm

⇒ 35 mm = 35/10

       = 3.5

• Now, let's add all the sides.

Perimeter = Sum of all sides

28 = 4.5 + 10.4 + 0.6 + 3.5 + x

28 = 19 + x

x = 28 - 19

= 9

Therefore, the fifth side of the pentagon is 9 cm.