Answer:
[tex]x=\frac{20}{3}[/tex]
Step-by-step explanation:
The area of the given triangle is 200 ft^2
The base of the triangle is 5x
Height of the triangle is 12 feet
The formula for the area of the triangle is [tex]\frac{1}{2} \cdot base \cdot height[/tex]
replace base and height in the area of the triangle formula
Area =[tex]\frac{1}{2} \cdot base \cdot height[/tex]
[tex]200=\frac{1}{2} \cdot 5x \cdot 12[/tex]
[tex]200=\frac{1}{2} \cdot 60x [/tex]
[tex]200= 30x[/tex]
divide both sides by 30
[tex]\frac{200}{30} =x[/tex]
[tex]x=\frac{20}{3}[/tex]
