#1**+2 **

Let's divide the pentagon into shapes like this:

By SSS congruency, the two triangles at the top are congruent, and so they have the same area.

area of one of the triangles = (1/2)(base)(height) = (1/2)(8)(6) = 24 sq inches

area of rectangle = (length)(width) = (12)(8) = 96 sq inches

area of pentagon = area of rectangle + 2(area of one of the triangles)

area of pentagon = 96 sq inches + 2(24 sq inches)

area of pentagon = 96 sq inches + 48 sq inches

area of pentagon = 144 sq inches

hectictar
Jun 27, 2018

#1**+2 **

Best Answer

Let's divide the pentagon into shapes like this:

By SSS congruency, the two triangles at the top are congruent, and so they have the same area.

area of one of the triangles = (1/2)(base)(height) = (1/2)(8)(6) = 24 sq inches

area of rectangle = (length)(width) = (12)(8) = 96 sq inches

area of pentagon = area of rectangle + 2(area of one of the triangles)

area of pentagon = 96 sq inches + 2(24 sq inches)

area of pentagon = 96 sq inches + 48 sq inches

area of pentagon = 144 sq inches

hectictar
Jun 27, 2018