Question

The area of the trapezoid is 14 square feet. Write an equation that you can use to find the value of x

Answer 1

$3x=14$

Explanation

the area of a trapezoid is equal to half the product of the height and the sum of the two bases.

$A=(\frac{base1+base2}{2})\cdot\text{heigth}$

then

Step 1

Let

base1=2x

base2=x

height= 2 ft

area= 14 square feet

replace,

$\begin{gathered} A=(\frac{base1+base2}{2})\cdot\text{heigth} \\ 14=(\frac{2x+x}{2})\cdot\text{2 } \\ 14=(\frac{3x}{2})\cdot2 \\ 14=3x\rightarrow equation \\ divide\text{ both sides by 3} \\ \frac{14}{3}=\frac{3x}{3} \\ \frac{14}{3}=x \\ x=\frac{14}{3} \end{gathered}$

then put 3x in the box.

I hope this helps you