Question

find the area of this trapezoid. explain or show your strategy.

Explanation:

Step1: Identify trapezoid formula

The area formula for a trapezoid is $A=\frac{(b_1 + b_2)h}{2}$, where $b_1$ and $b_2$ are the lengths of the parallel - bases and $h$ is the height.

Step2: Determine base and height values

By counting the grid - squares, assume each square has a side - length of 1 unit. The lengths of the parallel bases: $b_1 = 4$ units, $b_2 = 6$ units, and the height $h = 3$ units.

Step3: Substitute values into formula

$A=\frac{(4 + 6)\times3}{2}$. First, calculate the sum of the bases: $4+6 = 10$. Then, multiply by the height: $10\times3=30$. Finally, divide by 2: $\frac{30}{2}=15$.

Answer:

15 square units