Is this directly proportional: the area of a rectangle and it’s length, if it’s width is 24

Question

Is this directly proportional: the area of a rectangle and it’s length, if it’s width is 24 Please help

Answer 1

Two quantities x and y are directly proportional if for some constant (fixed number) k they are related in the following equivalent ways:

y / x = k

The ratio of y to x is constant (k)

y = kx

y is a constant (k) times x

To find out whether area of a rectangle and its length are directly proportional, first write down the formula that gives the area A in terms of the width w and length l. Then plug in the given width w = 24.

A = wl

The area equals the width times the length. Plug in w = 24

A = 24l

Now compare the equation to the direct proportion relationship y = kx to see they are in the same form.

y = kx

y is a constant (k) times x

A = 24l

area A is a constant (24) times length l

For this rectangle, the area and length are directly proportional.