Question

Find the area of the following shape.

Please explain how you broke it up and did

Answer 1

See attached image.

I broke it up into 4 different shapes, 3 triangles and a square.

Area for a triangle is 1/2 x base x height:

Triangle 1: 1/2 x 4 x 3 = 6

Triangle 2: 1/2 x 6 x 3 = 9

Triangle 3: 1/2 x 1 x 6 = 3

Area of square = S^2 = 6^2 = 36

Total area = 36 + 6 + 9+3 = 54 square units

Answer 2

Draw a segment from point E to point B. Now you have a triangle above with base FB of length 10 and height EA of length 3, and a trapezoid below with bases DC of length 7 and EB of length 6 and height CB of length 6.

area of figure = area of triangle + area of trapezoid

area of figure = bh/2 + (b + b)h/2

area of figure = 10(3)/2 + (7 + 6)(6)/2

area of figure = 15 + 39

area of figure = 54