Question

The perimeter of a certain Pentagon is 10.5 cm. Four sides of the Pentagon have the same length, centimeters, H, and the other side has a length of 1.7 cm, as shown below what is the value of h?

Answer 1

Answer: 2.2cm

Explanation:

A pentagon has 5 sides.

To get the perimeter of the Pentagon, all it's five sides are added together.

From the question, the perimeter of a the Pentagon is 10.5 cm.

Four sides are denoted by H

The fifth side is 1.7cm.

Since 4 sides are denoted by H, we multiply 4 by H.

4 × h = 4h

Perimeter = 4h + 1.7

4h + 1.7 = 10.5

4h = 10.5 - 1.7

4h = 8.8

Divide both side by 4

4h/4 = 8.8/4

h = 2.2

The value of each of the four sides of the Pentagon are 2.2cm each.

Answer 2

H is 2.2cm.

Explanation:

• A pentagon is a polygon with 5 sides.

• If all the sides are equal it is a regular polygon otherwise it is Irregular.

The Perimeter of the given pentagon =10.5cm

Four sides of Length Hcm are equal

The length of the fifth side = 1.7cm

Therefore: The sum of all the sides= 4H+1.7

4H+1.7=10.5

4H=10.5-1.7

4H=8.8

Divide both sides by 4

H=2.2 cm

The value of H is 2.2cm.