Question

The perimeter(P 2l+2w)of a rectangle is 18 cm. If w is the width of the rectangle and L is the length, which graph below shows the relationship between the width and the length of the rectangle?

Answer 1

the question does not present the options, but this does not interfere with the resolution

we know that

Perimeter of rectangle=2*[W+L]

where

L is the length of rectangle

W is the width of rectangle

Perimeter=18 cm

so

18=2*[W+L]-----> divide by 2------> 9=W+L

Let

x-------> L

y-------> W

then

x+y=9

using a graph tool

see the attached figure

the slope of the line is m=1

the x intercept is the point (9,0)

the y intercept is the point (0,9)