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maw [93]
4 years ago
14

Can someone help me with this

Mathematics
1 answer:
sattari [20]4 years ago
8 0
6 hours for 84 dollars, which means 14 dollars per hour.
3 hours, 42 dollars
4 hours, 56 dolalrs
5 hours, 70 dollars
8 hours, 112 dollars
the only matching answer is A
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The length of a rectangle is five times its width. If the area of the rectangle is 320m, find the perimeter
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Answer: The perimeter is 96 m

Step-by-step explanation:

If we tag the length of the rectangle as l and the width as w, and if in addition we are told l=5 w,the dimensions of the rectangle are as shown in the figure.

Now, the area of a rectangle is given by:

A=(l)(w)=320 m^{2}

Since l=5 w:

A=(5w)(w)=320 m^{2}

Isolating w:

5w^{2}=320 m^{2}

w=\sqrt{\frac{320 m^{2}}{5}}

w=8 m

On the other hand, the perimeter of a triangle is given by the addition of each of its sides. Then, if the rectangle has two sides that measure w and two sides that measure 5 w, the perimeter is:

P=2(5)(w)+2w

Substituting the value of w in the last equation:

P=2(5)(8 m)+2(8 m)

Finally the perimeter is:

P=96 m

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