Question

The organic garden at a restaurant is rectangular in shape and has a perimeter of 84 feet. If the length l of the garden is 24 feet longer than the width w of the garden, what is the area of the garden, in square feet?
Possible Answers:
A. 9
B. 33
C. 84
D. 297
E. I don't know.

Answer 1

Its sounds so simple but the one guy who was trying to teach me made it over complicated.

Answer 2

Perimeter of a rectangle is P = 2L + 2W

“Length is 24 more than the width” so L = W + 24

That equals sign means that we can replace L with W + 24 whenever L shows up

So going back to the original equation for perimeter

P = 2L + 2W = 2(W + 24) + 2W = 84 since perimeter is already given

Solve for W

Now, you can’t just stop there because it wants the area not the perimeter

So you must then find L and then find area = L*W