Question

Determine the area of the composite figure.​

Answer 1

420 cm²

Explanation:

Area of composite shapes

1. To calculate the area of a composite shape you must divide the shape into rectangles, triangles, or other shapes you can find the area of and then add the areas back together.
2. You may have to calculate missing lengths before finding the area of some of the shapes.
3. Other composite shapes may have cut-out sections.

Solve

To find the composite area of two or more shapes, simply find the area of each shape and add them together.

So,

18 cm × 20 cm = 360

10 cm × 6 cm = 60

Now, add the results together

360 + 60 = 420

Therefore, the area of the composite figure is 420 cm²

Answer 2

240

Explanation:

Split the firgue into shapes you know

rectangle and Trapezoid

A = bh

A = 10×6

A = 60

A = 1/2h(b+b)

A = 1/2×12(10+20)

A = 6(30)

A = 180

180 + 60 = 240

240