Question

the expression ½(b₁ + b₂) gives the area of a trapezoid with height h and bases b₁ and b₂. use the expression to find the area of the trapezoid shown.

Explanation:

Step1: Identify base lengths and height

Let $b_1 = 8$ cm, $b_2=12$ cm and $h = 6$ cm.

Step2: Apply trapezoid - area formula

The area formula of a trapezoid is $A=\frac{1}{2}(b_1 + b_2)h$. Substitute the values: $A=\frac{1}{2}(8 + 12)\times6$.
First, calculate the sum of the bases: $8+12 = 20$ cm. Then, multiply by $\frac{1}{2}$ and $h$. $A=\frac{1}{2}\times20\times6=60$ $cm^2$.

Answer:

$60$ $cm^2$