Question

question 18 of 25 if the area of the trapezoid below is 98 square units, what is the value of x? d 8 c a. 14 units x a 20 b b. 7 units c. 3.5 units d. 1.75 units

Explanation:

Step1: Recall trapezoid area formula

The area formula of a trapezoid is $A=\frac{(b_1 + b_2)h}{2}$, where $b_1$ and $b_2$ are the lengths of the parallel - sides and $h$ is the height. Here, $b_1 = 8$, $b_2=20$, $h = x$ and $A = 98$.

Step2: Substitute values into formula

Substitute the given values into the formula: $98=\frac{(8 + 20)x}{2}$.

Step3: Simplify the equation

First, simplify the numerator of the right - hand side: $8 + 20=28$, so the equation becomes $98=\frac{28x}{2}$, and $\frac{28x}{2}=14x$. So, $14x = 98$.

Step4: Solve for x

Divide both sides of the equation $14x = 98$ by 14: $x=\frac{98}{14}=7$.

Answer:

B. 7 units