Answer: The rectangle has a length of 21 meters, and a width of 9 meters.
Step-by-step explanation:
What we know:
- The perimeter is 60 meters
- The length is 3 meters longer than twice the width (2w + 3)
- Width = w
First, we need to set up our equation. Perimeter is the sum of all the sides. So we will add length to length and width to width.
Length: (2w + 3) + (2w + 3) = 4w + 6
Width: w + w = 2w
Now, we add our length and width.
(4w + 6) + (2w) = 6w + 6
Now we solve for w.
6w + 6 = 60
Subtract 6 from both sides.
6w + 6 - 6 = 60 - 6
Simplify.
6w = 54
Divide 6 from both sides.
6w/6 = 54/6
w = 9
The width is 9 meters.
To find the length, we just need to plug in w.
2(9) + 3 =
18 + 3 = 21
The length is 21 meters.
To check our work, we just need to add up all the sides.
9 + 9 + 21 + 21 = 60
