Two rectangles have the same width. The length of one is 1 foot longer than the width. The length of the other is 2 feet longer than the width. The larger rectangle has 5 more square feet than the smaller. What is the width of the rectangles? @tcarroll010
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For area, we have: A = L x W
The smaller rectangle has: (W)(W + 1)
The larger rectangle has: (W)(W + 2)
The smaller rectangle has 5 less square feet:
(W)(W + 1) + 5 = (W)(W + 2)
Can you solve for "W" now?
Not the answer you are looking for? Search for more explanations.
i dont get it
Hint: (a)(a + b) use distributive property
a^2 + ab
Now, use that as a guide for expanding:
(W)(W + 1)
This is a huge hint you've been given and all you have to do is substitute since you are given all the tools necessary to do this expansion.
is it like this(2)(5+1)
Yes, that is similar.
(2)(5 + 1) = (2)(5) + (2)(1)
i got 12 feet i dont know if i got it correct
Well, (2)(5+1) = 12
But you already substituted W=5, so 5 is the answer, not 12.