Question

6. b. In the figure, suppose CD = 11.5 cm, DE = 5.3 cm, and the

perimeter of the figure is 73.8 cm.
What is GE?

Answer 1

GE = 11 cm.

Explanation:

The figure provided is attached below.

The information given is:

CD = 11.5

DE = 5.3

BC = 8

AH = 11

Perimeter = 73.8

BC = FG = EF

HA = GH

AB = GE

The perimeter of any figure is the sum of all its sides.

The perimeter of the figure provided is:

Perimeter = AB + BC + CD + DE + EF + FG + GH + HA

Perimeter = AB + BC + CD + DE + BC + BC + HA + HA

`73.8=AB+8+11.5+5.3+8+8+11+11`

`73.8=AB+62.8`

`AB=11`

The value of side AB is 11 cm.

Then the value of GE is also 11 cm.