In rectangle nice, the base is 2x and the height is x+1. the perimeter is 53 feet. find the height

The perimeter equation for a rectangle is two times the base plus two times the height.

2B + 2H=P

Plug in the known values and solve for x.

2 (2x) + 2 (x+1) = 53

4x+2x+2=53

6x=51

x=8.5

Now that we know what x is, put it back into the formula for the height of the rectangle to find the final answer.

H = x+1

H=8.5+1

H=9.5 ft