Question

Edison's roof is in need of repair. Find the total area of the irregular polygon below to repair Edison's roof. Be sure to use the correct units of measure. (This question is worth 4 points. Be sure to show your work for each step. You will earn one point for each step you do correctly). You MUST show your steps and explain what you did. *​

Answer 1

Area of the polygon = 46 square units

Explanation:

Irregular polygon is in a composite figure having triangle A, rectangle B and rectangle C.

Area of the polygon = Area of triangle A + Area of rectangle B + area of rectangle C

Area of triangle A =
`(1)/(2)(\text{Base})(\text{Height})`

=
`(1)/(2)(8)(2)`

= 8 square units

Area of rectangle B = Length × Width

= 8 × 4

= 32 square units

Area of rectangle C = 3 × 2

= 6 square units

Area of the polygon = 8 + 32 + 6

= 46 square units