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malfutka [58]
3 years ago
13

If there are rectangles that all have the same perimeter, which one will have the least area? which one will have the greatest a

rea?
Mathematics
1 answer:
hichkok12 [17]3 years ago
7 0
The ones that will have the least area will be the ones that are the thinnest.  That is to say, the ones with the greatest width to length (or length to width) ratios would have the smallest area. 
The ones with the greatest area would be the ones with the smallest width to length (or length to width) ratios. They would be squares.

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What is the solution of ?<img src="https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B2%7D%20x-7%3D%5Cfrac%7B3%7D%7B4%7D%20x%2B14" id="Tex
Nonamiya [84]

Combine the terms by multiplying into a single fraction.

\bf{\dfrac{5}{2}x-7=\dfrac{3}{4}x+14   }

Find the common denominator.

\bf{\dfrac{5x}{2}-7=\dfrac{3}{4}x+14   }

Combine fractions with the lowest common denominator.

\bf{\dfrac{5x(-7)}{2}=\dfrac{3}{4}x+14   }

Multiply the numbers.

\bf{\dfrac{5x-14}{2}=\dfrac{3}{4}x+14   }

Combine the multiplied terms into a single fraction

\bf{\dfrac{5x-14}{2}=\dfrac{3x}{4}+14   }

Find the common denominator.

\bf{\dfrac{5x-14}{2}=\dfrac{3x}{4}+\dfrac{4\cdot14}{4}    }

Combine fractions with the lowest common denominator.

\bf{\dfrac{5x-14}{2}=\dfrac{3x+4\cdot14}{4}   }

Multiply the numbers.

\bf{\dfrac{5x-14}{2}=\dfrac{3x+56}{4}   }

Eliminate the denominators of the fractions.

\bf{4\cdot\dfrac{5x-14}{2}=4\cdot\dfrac{3x+56}{4}   }

Cancel the multiplied terms that are in the denominator.

\bf{2(5x-14)=3x+56}

To distribute.

\bf{10x-28=3x+56 }

Add 28 to both sides.

\bf{10x-28+28=3x+56+28 }

Simplify

\bf{10x=3x+84 }

Subtract 3x from both sides.

\bf{10x-3x=3x+84-3x }

Simplify

\bf{7x=84 }

Divide both sides by the same factor.

\bf{x=\dfrac{84}{7} }

Simplify

\bf{x=12 \ \ \ === > \ \ \ Answer}

↓

<h3>Verification</h3>

Let x=12.

  1. \bf{\dfrac{5}{2}\times12-7=\dfrac{3}{4}\times12+14   }
  2. \bf{\dfrac{5\times12}{2}-7=\dfrac{3}{4}\times12+14   }
  3. \bf{\dfrac{60}{2}-7=\dfrac{3}{4}\times12+14   }
  4. \bf{30-7=\dfrac{3}{4}\times12+14   }
  5. \bf{30-7=\dfrac{3\times12}{4}+14   }
  6. \bf{30-7=\dfrac{36}{4}+14   }
  7. \bf{30-7=9+14   }
  8. \bf{23=9+14 }
  9. \bf{23=23}

Checked ✅

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2 years ago
The swamp middle school basketball team purchased new equipment and uniforms. The total cost of equipment was $245 and each unif
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25 because $518 ( their total ) divided by $21 ( the amount for EACH uniform) is 24.6 which isn’t possible so round it to 25
7 0
2 years ago
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Solve the equation. Round to the nearest tenth if necessary.
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The answer will be 30
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3 years ago
The sum of1/2 and 1/5 is between 1/2 and 1?
KATRIN_1 [288]

Answer:

the answer is 7/10, and yes it is between a whole and a half because 7/10 is over 1/2 but less that a whole.

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3 years ago
Elizabeth ran 2.7 kilometers in the morning and 2.52 kilometers after lunch. Adrian ran 3.064 kilometers at night. How much fart
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Answer:

2.7+2.52=5.22-3.064

=2.16km

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3 years ago
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