SOLUTION: If the area of a regular polygon is 50 sq. m and its perimeter is 25 m, determine the length of its apothem. A. 2 m B. 4 m C. 6 m D. 8 m

Algebra ->  Customizable Word Problem Solvers  -> Geometry -> SOLUTION: If the area of a regular polygon is 50 sq. m and its perimeter is 25 m, determine the length of its apothem. A. 2 m B. 4 m C. 6 m D. 8 m      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 1153293: If the area of a regular polygon is 50 sq. m and its perimeter is 25 m, determine the length of its apothem.
A. 2 m
B. 4 m
C. 6 m
D. 8 m
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

the area of regular polygons:
use the formula: area+=+%28ap%29%2F2, where a is the apothem and p is the perimeter
given:
area+=50m%5E2 and p=25m
50m%5E2=+%28a%2A25m%29%2F2
100m%5E2=+a%2A25m
a=100m%5E2%2F25m
a=4m

answer is: B. 4m