232k views
4 votes
Find the area of the polygon. Show your work!!

Find the area of the polygon. Show your work!!-example-1
User Fred Loney
by
6.2k points

1 Answer

2 votes
You have to use composites here since this is not a regular polygon. It looks like you could split it up into a triangle and a parallelogram. The area of a triangle is
A= (1)/(2) bh while the area of a parallelogram is A=bh. Find the areas of both those shapes and then add them together. The triangle has a height of 3 units and a base of 5 units. Therefore, its area is 15/2. Now for the parallelogram. It has a height of 3 units and a base of 5 which is 15. So we will add those together:
A= (15)/(2) +15, which, with a commond denominator is 45/2 or 22.5 units squared.
User Edpaez
by
5.9k points