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Ivenika [448]
2 years ago
9

I need help pleace ​

Mathematics
1 answer:
Whitepunk [10]2 years ago
7 0

Answer

<em>length = width + 15</em>

<em>Area = length * width; area is 54 square feet.</em>

<em>Two equations are:</em>

<em>L = W + 15</em>

<em>L * W = 54</em>

<em>To solve, we substitute first equation into second equation:</em>

<em>(W + 15) * W = 54</em>

<em>w^2 + 15w = 54</em>

<em>w^2 + 15w - 54 = 0</em>

<em>(w+18)(w-3) = 0</em>

<em>w = -18 or 3</em>

<em>The width cannot be negative, so 3 is the width and since length is 15 more than width, length is 18:</em>

<em />

<em>Length = 18 feet</em>

<em>Width = 3 feet</em>

<em />

<em />

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Answer:

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Step-by-step explanation:

The formula one would use for finding the volume of a rectangular prism is as follows:

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With this in mind, let's plug in the given variables in the question for this formula.

V=648ft^3

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V=lwh\\648ft^3=(6ft)(9ft)h

  • I'm leaving in units just because I want to show that units aren't just for show. They can be used when in doubt of how to go about your math.

648ft^3=(6ft)(9ft)h\\648ft^3=(54ft^2)h\\\frac{648ft^3}{54ft^2}=\frac{(54ft^2)h}{54ft^2}

  • Notice, that the units on the left side cancel out, leaving only the unit ft left next to the solution. In the same way, the units on the right side cancel out too, leaving only h, height.

\frac{648ft^3}{54ft^2}=\frac{(54ft^2)h}{54ft^2}\\12ft=h

If involving units only confuses you, like it does for me, you can remove them like so, you just need to know what units your solution uses instead of being able to come to the proper units by using math.

V=lwh\\648=(6)(9)h\\648=54h\\\frac{648}{54}=\frac{54h}{54}\\12ft=h

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