Write a solution to solve this problem then solve and show how the answer is correct

L=2w+2 this is what the length is.

Perimeter (P) is P=2l+2w because there are two widths and two lengths in a rectangle.

Since we know that P=46 and l=2w+2, we can do this (substitute P and l):

46=2(2w+2)+2w

Then use the distributive property:

46=4w+4+2w

Solve for w:

46=6w+4
42=6w
w=7

So the width is 7.

To find the length, plug w=7 into l=2w+2

l=2(7)+2
l=14+2
l=16

So, the dimensions are 16 m x 7 m.