Asked by Monica
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?
l=w+4
w=l-4?
I'm stuck?
Answers
Answered by
Steve
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.
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.
There are no AI answers yet. The ability to request AI answers is coming soon!
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.