Greetings!
Answer:
15m
Step-by-step explanation:
Well, this can be shown using an equation:
2x- 12 = equation for width
x = equation for length
The area for a rectangle is width x length so:
(2x - 12) * x = 270
[tex]2x^2 - 12x = 270[/tex]
Make the equation a quadratic:
2x² - 12x - 270 = 0
(÷2) = x² - 6x - 135
Now you need to find what values multiply to -135 and add to -6, in this case it is +9 and -15
(x + 9)(x - 15)
So x = -9 and x = 15
The length has to be 15 because the length cannot be a negative, so the length of the rectangle is 15m!
Hope this helps!
