Question

question 10, text skills 1.14.1 points: 0 of 1 what is the area of the figure shown? the area is square units. (type an integer or a simplified fraction.)

Explanation:

Step1: Identify the figure type

The figure is a trapezoid. The formula for the area of a trapezoid is $A = \frac{(a + b)h}{2}$, where $a$ and $b$ are the lengths of the two parallel sides (bases), and $h$ is the height (the perpendicular distance between the bases).

Step2: Determine the lengths of the bases and height

From the grid, let's assume each square has a side length of 1 unit.

• The length of the top base ($a$): Let's count the squares. Suppose it's 5 units.
• The length of the bottom base ($b$): Counting the squares, suppose it's 13 units.
• The height ($h$): The vertical distance between the two bases, suppose it's 6 units (counting the vertical squares).

Step3: Apply the trapezoid area formula

Substitute $a = 5$, $b = 13$, and $h = 6$ into the formula:
$$A = \frac{(5 + 13) \times 6}{2}$$
First, calculate the sum of the bases: $5 + 13 = 18$.
Then, multiply by the height: $18 \times 6 = 108$.
Finally, divide by 2: $\frac{108}{2} = 54$.

Answer:

54