The length of a table is 4m longer than the width. The are is 77m^2. Find the dimensions of the table.

l=w+4
w=l-4?
I'm stuck?

1 answer

As you noted,
l = w+4

Now you only have one more piece of data: the area

a = lw = (w+4)w so,

w^2+4w = 77
w^2+4w-77 = 0
(w+11)(w-7) = 0
w = 7 or -11

Even before working on the algebra, you could have asked yourself, "Self, what are the factors of 77?" 7 and 11.
Hmmm. One is 4 more than the other.