Answer:
x = 2
Explanation:
Firstly, calculate the area of the rectangle with the formula:
Length x width = area
(x+6) * 3 = 3x + 18
The formula for the area of a triangle is:
We can plug the known variables into the equation and get:
![(1)/(2) * 8 * (x+4)](https://img.qammunity.org/2022/formulas/mathematics/high-school/g6dk7c69ov6sq8j9jiypj0sfelycws1stk.png)
4 * (x + 4)
4(x + 4)
4x + 16
As the two areas are the same:
4x + 16 = 3x + 18
Subtract 3x from both sides of the equation:
4x + 16 - 3x = 3x + 18 - 3x
x + 16 = 18
Subtract 16 from both sides of the equation:
x + 16 - 16 = 18 - 16
x = 2
Hope this helps!