Question

What is the area of this figure?

Answer 1

9514 1404 393

Answer:

  54 square units

Step-by-step explanation:

One way to find the area is to divide the figure into 3 parts using a horizontal line at y=3.

The trapezoid below the line has bases 9 and 7, and height 6, so an area of ...

  A = (1/2)(b1 +b2)h

  A = (1/2)(9 +7)(6) = 48 . . . . square units

The left triangle above the line has a base of 3 and a height of 2, so an area of ...

  A = (1/2)bh

  A = (1/2)(3)(2) = 3 . . . . square units

The right triangle above the line has a base of 6 and a height of 1, so an area of ...

  A = (1/2)(6)(1) = 3 . . . . square units

Then the total area is ...

  figure area = trapezoid area + left triangle area + right triangle area

  figure area = (48 + 3 + 3) square units = 54 square units