the length of a rectangle is 3 ft longer then it’s width off the perimeter of the rectangle is 62 ft find its length and width

Question

the length of a rectangle is 3 ft longer then it’s width off the perimeter of the rectangle is 62 ft find its length and width

Answer 1

Let x be the width and y be the length.

Perimeter, p = 2x+2y=62

y = x+3 from the description.

Substituting for y

2x+2(x+3)=62

2x+2x+6=62

4x=56

x=14

y=x+3=17

So the length is 17 and the width is 14

Checking:

2(17)+2(14)=34+28=62