Question

What is the area of the composite figure? Will mark brainlyest!!

Answer 1

Try the first answer 88 m^2

Answer 2

Answer:

  (a)  88 m²

Step-by-step explanation:

The area of a composite figure can be found by decomposing it into figures whose areas are easy to calculate. This figure can be decomposed any of several ways (as is often the case).

Drawing a vertical line down from the top-edge vertex, we can divide the figure into a trapezoid on the left and a rectangle on the right.

__

Trapezoid

The trapezoid will have (vertical) bases of 4 m and 6 m, and a height of (16-8) = 8 m. Its area is ...

  A = 1/2(b1 +b2)h = 1/2(4 +6)(8) = 40 m²

Rectangle

The rectangle on the right is 8 m wide and 6 m high, so its area is ...

  A = LW = (8 m)(6 m) = 48 m²

Total

The total area is ...

  trapezoid area + rectangle area = 40 m² +48 m² = 88 m²

The area of the composite figure is 88 m².