Answer:
The width is 12.1 meters.
Step-by-step explanation:
So, we know that the perimeter is 53 meters, and that the length is 2.3 meters longer than the width (length = width + 2.3 meters). The equation for the perimeter of a rectangle is
P = 2(l + w)
where P is the perimeter, l is the length, and w is the width. Lets plug in 53 for P (because the perimeter is 53 meters) and w + 2.3 for l (because the length is 2.3 meters longer than the width) into the equation.
53 = 2(w + 2.3 + w)
This would be the equation to find the width.
Now solve for the width:
53 = 2(w + 2.3 + w)
Distribute the 2
53 = 2w + 4.6 + 2w
Simplify
53 = 4w + 4.6
Subtract 4.6 from both sides.
48.4 = 4w
Divide 4 from both sides.
12.1 = w
w = 12.1
(Remember, the width should be in meters because the length and the perimeter is in meters.)
The width is 12.1 meters.
I hope you find this helpful. :)
