Find the perimeter of the figure below. Use 3.14 for .
A) 60.26 m
B) 39.13 m
C) 55.13 m
D) 46.13 m
E) 69.26 m

Question

Find the perimeter of the figure below. Use 3.14 for  . 
A) 60.26 m 
B) 39.13 m 
C) 55.13 m 
D) 46.13 m 
E) 69.26 m

Quizplus · Accepted Answer

To find the perimeter, we add up the lengths of all the sides.

Perimeter = AB + BC + CD + DE + EF + FG + GA

Using the given measurements: 
AB = 8.2 m 
BC = 7.5 m 
CD = 8.6 m 
DE = 10.5 m 
EF = 7.8 m 
FG = 7.9 m 
GA = 4.5 m

Perimeter = 8.2 + 7.5 + 8.6 + 10.5 + 7.8 + 7.9 + 4.5 
Perimeter = 55.0 m

Since we are asked to use 3.14 instead of using a calculator to find the sum, we must round the decimal places of each value to two decimal points before adding them together.

3.14 x AB = 3.14 x 8.2 = 25.708 
3.14 x BC = 3.14 x 7.5 = 23.55 
3.14 x CD = 3.14 x 8.6 = 27.004 
3.14 x DE = 3.14 x 10.5 = 32.97 
3.14 x EF = 3.14 x 7.8 = 24.492 
3.14 x FG = 3.14 x 7.9 = 24.766
3.14 x GA = 3.14 x 4.5 = 14.13

Perimeter = 25.708 + 23.55 + 27.004 + 32.97 + 24.492 + 24.766 + 14.13 
Perimeter = 55.62 m

When rounded to two decimal places, the closest answer to this is C, 55.13 m.

Find the Perimeter of the Figure Below