Answer :
The area of the polygon is 43.5 untis².
Option A is the correct answer.
What is a rectangle?
A rectangle is a two-dimensional shape where the length and width are different.
The area of a rectangle is given as:
Area = Length x width
We have,
The polygon has five shapes as shown below.
Three triangles, one square, and one rectangle.
We will count the units as the measure of each length.
Now,
Triangle:
Area = 1/2 x base x height
1 triangle area =1/2 x 3 x 2 = 3 units²
2 triangle area = 1/2 x 5 x 1 = 5/2 units²
3 triangle area = 1/2 x 3 x 4 = 6 units²
Rectangle:
Area = length x width
length = 8 units
width = 4 units
Area = 8 x 4 = 32 units²
The area of the polygon.
= 3 + 5/2 + 6 + 32
= 3 + 2.5 + 6 + 32
= 43.5 units²
Thus,
The area is 43.5 units²
Learn more about rectangles here:
https://brainly.com/question/15019502
#SPJ2