there is a pair of parallel sides in the following shape. what is the area of the shape? units²
there is a pair of parallel sides in the following shape. what is the area of the shape? units²
Answer
Explanation:
Step1: Identify the trapezoid formula
The area formula for 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.
Step2: Determine the values of $a$, $b$ and $h$
From the figure, $a = 3$, $b = 10$, and $h=24$.
Step3: Substitute the values into the formula
$A=\frac{(3 + 10)\times24}{2}$. First, calculate the sum of the parallel sides: $3+10 = 13$. Then, multiply by the height: $13\times24=312$. Finally, divide by 2: $\frac{312}{2}=156$.
Answer:
156