Question

The perimeter of a Pentagon is 30 cm. If four of its sides measures 55 mm , 11 cm 4 mm, 4 cm 6 mm and 45 mm. Find thr lenght of the fifth side.

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Answer 1

answer:

fifth sise idls 53mm

explanation:

add all the four side

convert cm to mm

55+114+46+45 mm

after that divide it by 5 than your ans will come 53mm

Answer 2

Answer:

The length of fifth side = 4 cm

Step-by-step explanation:

Given:

• The perimeter of a pentagon = 30 cm
• Four of its sides measure 55 mm, 11 cm 4 mm, 4 cm 6 mm and 45 mm.

To find:

• The length of fifth side.

Solution:

First we will add all the sides of pentagon. As the perimeter of a pentagon is already given, so by using formula of perimeter of pentagon we will find its fifth side in terms of x.

Remember: The nature of units should be same while doing calculations.Divide by 10 while converting mm into cm. Also when we have two units in one; as 11cm and 4 mm, we will convert mm into cm and add them (don't multiply them).

Therefore, Four of its sides measure 5.5 cm, 11.4, 4.6 cm and 4.5 cm.

Let the length of fifth side be x.

Now,

♦ Perimeter of pentagon = Sum of all sides

Putting the values,

➾ 5.5 + 11.4 + 4.6 + 4.5 + x = 30

➾ 26 + x = 30

➾ x = 30 - 26

➾ x = 4

Therefore, the length of fifth side = 4 cm

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