The equation will be 2(9k) + 2(8k) = 68.
Mensuration
It deals with the size of geometry, region, and density of the different forms both 2D and 3D.
Rectangle
It is a polygon that has four sides and four corners. The sum of the internal angle is 360 degrees. In rectangle opposite sides are parallel and equal and each angle is 90 degrees. And its diagonals are also equal and intersect at mid-point.
Given
The perimeter of a rectangle is 68 ft.
The ratio of the length to the width is 9:8.
To find
The best equation to use to solve this problem.
How do find the best equation to use to solve this problem?
The perimeter of a rectangle is 68 ft.
The ratio of the length (L) to the width (W) is 9:8.
\(\rm \dfrac{L}{W} = \dfrac{9}{8} = k\\\\L = 9k \ \ \ \ \ \ W = 8k\)
Then according to the perimeter.
\(\begin{aligned} \rm Perimeter &= 2 * (L + W)\\68 &= 2 (8k+9k)\\68 &= 34k\\k &= 2\end{aligned}\)
Then
L = 9k = 9x2 = 18
W = 8k = 8x2 = 16
And equation will be 2(9k) + 2(8k) = 68.
More about the mensuration link is given below.
https://brainly.com/question/10046743
