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Keith_Richards [23]
3 years ago
11

The area of a square rug is 169ft^2. How long is each side of the rug?

Mathematics
1 answer:
jek_recluse [69]3 years ago
6 0

Answer:

\boxed{ \bold{ \huge{ \boxed{ \sf{13 \: ft}}}}}

Step-by-step explanation:

\star{ \sf{ \: Area \: of \: a \: square \: rug \: ( \: A \: ) \:  =  \: 169 \:  {ft}^{2} }}

\sf{ \underline{Finding \: the \: length \: of \: a \: square \: ( \: l \: )}}

\boxed{ \sf{Area \: of \: a \: square \:  =  \:  {l}^{2} }}

\hookrightarrow{ \sf{169 =  {l}^{2} }}

\hookrightarrow{ \sf{ {l}^{2}  = 169}}

\hookrightarrow{ \sf{ \sqrt{ {(l)}^{2} }  =  \sqrt{169} }}

\hookrightarrow{ \text{length \:  =  \: 13 \: ft}}

\text{Hope \: I \: helped!}

\text{Best \: wishes !!}

~\text{TheAnimeGirl}

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3 years ago
A student had 500 milliliters of water in a water bottle. She drank 25% of the water before soccer practice. After practice, she
marta [7]

A student had 500 milliliters of water in a water bottle. She drank 25% of the water before soccer practice. After practice, she drank 1/3 of the remaining water.

​How much water, in milliliters, does the student have left in the bottle?

Answer:

the amount of water the student have left in the bottle is 250 milliliters

Step-by-step explanation:

A student had 500 milliliters of water in a water bottle. She drank 25% of the water before soccer practice. After practice, she drank 1/3 of the remaining water.

​How much water, in milliliters, does the student have left in the bottle?

Before the soccer practice, she drank 25 % of the water

25% of the water = 25% of 500

                             = 25% × 500

                              =\frac{25}{100} ×  500

At the right hand-side of the equation, the two zeros will cancel-out the other two zeros, hence;

                                = 25 × 5

                                 =125

25% of the water = 125 milliliters

From the question, it was said that drank 25% of the water before soccer, this implies that she drank 125 milliliters from the water bottles.

If she drank 125 milliliters of  from a 500 milliliters water contain in the water bottle, then the amount of water left will be 500 ml - 125 ml = 375 ml

This implies that before the soccer practice she had 375 milliliters of water left in the water bottle.

After the practice, she drank 1/3 of the remaining water, which means after the practice she drank 1/3 of 375

1/3 of 375 = \frac{1}{3} × 375 = \frac{375}{3} = 125

After the practice she drank 125 milliliters of water from her 375 milliliters water.

The amount of water she have left after the practice will be;

375 milliliters - 125 milliliters = 250 milliliters

Therefore, the amount of water the student have left in the bottle is 250 milliliters

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