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`

Step-by-step explanation

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

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

then put 3x in the box.

I hope this helps you