Question

The length of a rectangle is 2 more than twice the width. Find the dimensions of the rectangle if the perimeter is 76.

If x represents the width of the rectangle, then which expression represents the perimeter?
i got 2x + 2?

Answer 1

length is 2 more than twice the width
L = 2 + 2* x

so one equation is L=2+2x

the perimeter of a rectangle is found by adding up all the sides
so you have x+x+L+L=76
2x+2L=76

------
if you want to find the dimensions (use the equations i have above)
2x+2(2+2x)=76
2x+4+4x=76
6x+4=76
6x=76-4
6x=72
x=12 is the width
so the length is L=2+2x=2+2(12)=2+24=26