Answer:
The length is 11ft.
The width is 8ft.
Step-by-step explanation:
Hello!
Perimeter of a rectangle: [tex]P = 2(l + w)[/tex]
- P = perimeter
- l = length
- w = width
We know that the length is 5 ft less than twice the width, which can be expressed by the equation: l = 2w - 5. We can plug in 38 for "P".
We can substitute the equation for l, and solve for the width.
Solve for W
- [tex]P = 2(l + w)[/tex]
- [tex]38 = 2((2w - 5) + w)[/tex]
- [tex]38 = 2(3w - 5)[/tex]
- [tex]38 = 6w - 10[/tex]
- [tex]48 = 6w[/tex]
- [tex]8 = w[/tex]
The width is 8. We can solve for the length by plugging it back into the equation l = 2w - 5
Solve for L
- l = 2w - 5
- l = 2(8) - 5
- l = 16 - 5
- l = 11
The length is 11.
The dimensions are 11 ft and 8 ft.