The area of a rectangular portion of a national park is(48x^2 + 16x) square km. If the length is 8x km long, what is the width, in km?
8x(?)=48x^2+16x
8x(?)=8x(6x+2)
what is (?)
To find the width of the rectangular portion of the national park, we need to divide the area by the length.
Given that the area is (48x^2 + 16x) square km and the length is 8x km, we can use the formula for the area of a rectangle: Area = Length x Width.
So, we have the equation: (48x^2 + 16x) = (8x) x Width.
To solve for the width, we can divide both sides of the equation by 8x:
(48x^2 + 16x) / (8x) = Width.
Simplifying, we get:
6x + 2 = Width.
Therefore, the width of the rectangular portion of the national park is 6x + 2 km.