Question

The Rectangle shown has a perimeter of 16 inches

a. Write an equation describing the possible values of x and y
b.use intercepts to graph the equation from part a
c.Give three pairs of whole-number values of x and y that could represent side lengths of the rectangle
d. does either the x-intercept or the y-intercept represent a possible side length of the rectangle? Explain

PLEASE HELP!

Answer 1

We let x and y be the dimensions of the rectangle such that its perimeter will be twice the sum of the dimensions.
P = 16 = 2(x + y)
Three pairs of the side lengths
x = 1 and y = 7
x = 2 and y = 6
x = 3 and y = 5
The x-intercept and the y-intercept will not represent a possible combination of the lengths of the sides because of the values of either lengths being 0.