Respuesta :

1/2(5x*12)= 200
5x*12=400
5x=33 1/3
x= 6 2/3

Answer:

x=6.67

Step-by-step explanation:

We are given that area of triangle is 200 square feet .

Height of triangle =12 feet

Base of triangle =5x feet

We have to find the value of x

We know that area of triangle with base b and height h

Area of triangle =[tex]\frac{1}{2}\times b\times h[/tex]

Substitute the values then we get

Area of triangle =[tex]\frac{1}{2}\times 5x\times 12 [/tex]

[tex]200=30 x[/tex]

[tex]x=\frac{200}{30}[/tex]

[tex]x=6.67[/tex]

Hence, x=6.67

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