Question

Find the area of this shape in two different ways. Numbers: 1m, 2m, 3m, and 4m. (See picture if you don’t understand.)

Answer 1

Answer:

A = 10m^2

Step-by-step explanation:

Divide the figure into 3 smaller figures (a triangle, a rectangle, and a square). Then, solve for the area of each composite figure.

A of triangle = (2 x 2)/2 = 2

A of rectangle = 4 x 1 = 4

A of square = 2 x 2 = 4

A of figure = 2 + 4 + 4 = 10m^2

Another way to solve this is to find the area of the entire figure plus the area of a triangle. This would look like A = 3 x 4 = 12. But, since the extra triangle area is included, we must subtract this from the total area.

A of triangle = (2 x 2)/2 = 2

A of figure = 12 - 2 = 10m^2