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What linear equation will determine the length, given the area of a rectangle is 48 sq ft and the width is 6ft?

Answer 1

The equation is #l = 6#.

First, we know that the area of a rectangle is equal to length times width, or #A = lw#.

We know the area and the width, so we can solve the length.

The definition of a linear equation is simply an equation where when two points are plotted on a graph, you can make a straight line through the two points. Another way to state this is that it has a max of one unknown/variable.

First, let's plug in our values into the rectangle formula: #A = lw#

#48 = l6#

Now, we need #l# alone, so divide both sides by #color(blue)6#: #48/color(blue)6 = (l6)/color(blue)6#

Therefore, the linear equation is: #l = 6#

Hope this helps!

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Answer 2

Jace Anderson

The linear equation to determine the length of the rectangle, given that the area is 48 square feet and the width is 6 feet, is (L = \frac{48}{6}). Therefore, (L = 8) feet.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.