Question

What is the area of the composite figure? Assume angles that appear perpendicular are perpendicular and lines appearing parallel are parallel.

Answer 1

139.5 square units

Explanation:

The area of the whole figure is:

Area of whole figure = area of left triangle + area of middle rectangle + area of right triangle

Now let's find each of them separately and add.

• Area of left triangle: the base is 3 (shown) and the height is 9 - 6 = 3. Hence area is
  `(1)/(2)*Base*Height\\=(1)/(2)*3*3\\=4.5`

• Area of middle rectangle: the length is 13 as given and height is 9 as given. Hence area is
  `Base*Height\\=13*9\\=117`
• Area of right triangle: the base is 19 - 13 = 6 and the height is 6. Hence the area is
  `(1)/(2)*Base*Height\\=(1)/(2)*6*6\\=18`

Area of whole figure = 4.5 + 117 + 18 = 139.5