Answer:
C
Step-by-step explanation:
Let length of rectangle be "l"
Let width of rectangle be "w"
We know,
LENGTH is 2 MORE THAN WIDTH, we can write:
l = w + 2
Also, note the perimeter is the sum of all 4 sides of a rectangle, thus:
length + width + length + width
Now,
The perimeter is given as 72, so we can write:
l + l + w + w = 72
2l + 2w = 72
We have 2 equations that we need to solve and find the length (l).
The first equation is:
l = w + 2
Rearranging, we have:
w = l - 2
We put this into 2nd equation and find the value of l:
[tex]2l + 2w = 72\\2l + 2(l-2) = 72\\2l+2l-4=72\\4l-4=72\\4l=76\\l=\frac{76}{4}\\l=19[/tex]
The length is 19 meters, the correct answer is C
