Question

The perimeter of a rectangle that is x units wide and y units long is 24 centimeters.

A.) Write an equation in standard form for the perimeter
B.) Find the x and y units. Does either intercept make sense as a solution for this situation? Explain.

Answer 1

Part A

The perimeter of a rectangle is given by

Perimeter = 2(length + width)

i.e. 2(x + y) = 24
x + y = 24 / 2 = 12

Therefore, the equation in standard form for the perimeter is given by
x + y = 12



Part B

x-intercept is x = 12
y-intercept is y = 12

The intercepts does not make sence as a solution for this equation because either side of a rectangle cannot be 0.