Question

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

Answer 1

Answer:

139.5 square units

Step-by-step 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 $\frac{1}{2}*Base*Height\\=\frac{1}{2}*3*3\\=4.5$

• 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 $\frac{1}{2}*Base*Height\\=\frac{1}{2}*6*6\\=18$

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