Question

Find the area of the following figure. Explain how you found your answer.

Answer 1

Answer:

26 1/2 units

Step-by-step explanation:

First find the area of the rectangle at the bottom

A = l*w

A = 5 *4 = 20

Then find the area of the left triangle

A =1/2 bh = 1/2 (3 * 3) = 9/2

Then find the area of the right triangle

A = 1/2 bh = 1/2 ( 2*2) = 4/2 =2

Add the areas together

20 + 9/2+2 = 22 +9/2 = 22+4 1/2= 26 1/2

Answer 2

Answer:

Below

Step-by-step explanation:

Let's say that each square on the grid represents 1 cm

First find the area of the two triangles

For the larger one: A = bh/2

A = 3 x 3 / 2

  = 4.5 cm^2

For the smaller one : A = bh/2

A = 2 x 2 / 2

   = 2 cm^2

For the rectangle : A = lw

A = 4 x 5

   = 20 cm^2

Add them all up to get the area

4.5 + 2 + 20 = 26.5 cm^2

Hope this helps!