Question

question 3 find the area of the shape below.

Explanation:

Step1: Identify the shape

The shape is a trapezoid.

Step2: Determine the formula for area of 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 parallel - sides and $h$ is the height.

Step3: Identify the values of $a$, $b$ and $h$ from the graph

By counting the grid - squares, assume each square has a side - length of 1 unit. The lengths of the parallel sides are $a = 4$ units and $b = 6$ units, and the height $h=6$ units.

Step4: Substitute the values into the formula

$A=\frac{(4 + 6)\times6}{2}$.
First, calculate the sum of the parallel sides: $4+6 = 10$.
Then, multiply by the height and divide by 2: $A=\frac{10\times6}{2}=\frac{60}{2}=30$.

Answer:

30