Question

The dimension of a community garden are such that the length is 7 feet shorter than 5 times the width. Which equation models the area, in square feet, of the community garden in terms of its width, w?
a. A=w(5w-7)
b. A=w(7w-5)
c. A=5w(w-7)
d. A=7w(w-5)

Answer 1

Start with the known/given information:

"the length is 7 feet shorter than 5 times the width"
We can write this as:
$l=5w-7$

We also know that area is width times length:
$A=wl$

Now we can substitute our expression for $l$:
$A=wl$
$A=w(5w-7)$

And there we go, our answer is 'A'.