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A construction company is planning to pour concrete for a driveway. The length of the the driveway is 16 ft longer than its width 'w'.
Write an expression for the area of the driveway.

2006-12-24 06:17:31 · 18 answers · asked by baseballman1243 1 in Science & Mathematics Mathematics

18 answers

The area = (16 + w)w = 16w + w^2.
where w is the width of the driveway.

Good luck with your new driveway.

2006-12-24 06:22:00 · answer #1 · answered by Crazy Malamute 3 · 1 0

One rule of thumb when trying to solve algebraic word problems is to determine the standard of comparison. That is, what are the unknowns being compared to? In this case, since the length of the driveway is 16 feet longer than its width w, the obvious standard of comparison is w.

Let w = width. Then
w + 16 = length of driveway.

Seeing as there's a length and width, it's obvious the driveway is a rectangle. The area of a rectangle is given by the formula length times width. That is,

A = (length) x (width)

However, we know what length is; it's (w + 16). And width is obviously w. Therefore

A = (w + 16) (w)

And if we wanted to simplify that, distribute the w over the brackets, to get

A = w^2 + 16w

2006-12-24 14:22:38 · answer #2 · answered by Puggy 7 · 2 0

w+16

2006-12-24 14:26:49 · answer #3 · answered by Anonymous · 0 0

A=wl=w(w+16)=w^2+16w

2006-12-24 16:52:22 · answer #4 · answered by mu_do_in 3 · 1 0

A = W (L + 16)

2006-12-24 14:21:39 · answer #5 · answered by Doctor Gonzo 2 · 0 0

Area = width * length

Length = Width + 16 ft

Area = Width * (width + 16) = Width^2 + 16*Width

So the area function, where width is "w" is:

f(w)=w^2+16w

2006-12-24 14:23:01 · answer #6 · answered by Gerino 2 · 1 0

If 'w' stands for the width, then '(w+16)' stands for the length. Therefore, the area = w(w+16).

2006-12-24 14:23:11 · answer #7 · answered by sahsjing 7 · 1 0

Ok. The formula for Area is A=lw, so your length is w + 16 and so your area is A=w(w+16) or the quadratic equation A=w^2+16w

By the way you should do your own homework.
This is my gift to you.

2006-12-24 14:25:53 · answer #8 · answered by Virgo 4 · 1 0

w(w+16)

2006-12-24 18:49:18 · answer #9 · answered by abcde12345 4 · 1 0

w = width
l= length = w+16
A= ltimes width = w(w+16) = w^2+16w ft^2

2006-12-24 14:26:21 · answer #10 · answered by ironduke8159 7 · 1 0

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