Q:

Find the area of the polygon.Look at the picture pleaseA : 24.6 square unitsB : 25.8 square unitsC: 26.3 square unitsD: 27.5 square units

Accepted Solution

A:
Answer:option D: 27.5 square unitsStep-by-step explanation:Divide the polygon in 6 figures see the attached figureArea of figure 1 (right triangle)A1=(1/2)(3)(3)=4.5 units²Area of figure 2 (rectangle)A2=(1)(3)=3 units²Area of figure 3 (rectangle)A3=(1)(3)=3 units²Area of figure 4 (right triangle)A4=(1/2)(3)(3)=4.5 units²Area of figure 5 (right triangle)A5=(1/2)(4)(5)=10 units²Area of figure 6 (right triangle)A6=(1/2)(1)(5)=2.5 units²The total area is equal toAt=A1+A2+A3+A4+A5+A6At=4.5+3+3+4.5+10+2.5=27.5 units²