Question

What is the area of this figure?

Answer 1

Answer:

54 units squared

Step-by-step explanation:

You have to divide the shape into simpler shapes such as rectangles and triangles that you can easily find the area of. Then, add those areas together. I divided it into one rectangle and three triangles.

Rectangle 1: length=7 width=6          6(7)=42

Triangle 1: base=6 height=2          1/2(6)2=6

Triangle 2: base=3 height=2          1/2(3)2=3

Triangle 3: base=6 height=1          1/2(6)1=3

Area= R1+T1+T2+T3= 42+6+3+3= 54 units squared

Answer 2

Answer:

54 square units

Step-by-step explanation:

We are given a figure which we can break into smaller, simpler shapes to make it easier to calculate its total area.

So breaking this figure, we have a rectangle and 3 different sized triangles.

Therefore, we will find areas of all these shapes and add them up.

Area of rectangle = l × w = 7 × 6 = 42 square units

Area of triangle 1 = 1/2 × b × h = 1/2*3*2 = 3 square units

Area of triangle 2 = 1/2*6*2 = 6 square units

Area of triangle 3 = 1/2*6*1 = 3 square units

Total Area of the figure = 42+3+6+3 = 54 square units