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lisov135 [29]
3 years ago
10

HELP ME PLS THIS NEEDS TO BE DONE TONIGHT AND TURNED IN TOMORROW The Hamiltons are paving their driveway. They are paving a rect

angular area and an area in the shape of a parallelogram to make it easier to turn around and pull out of the driveway. A sketch of the plan for their driveway uses a scale of 1 in. for every 3 ft. What is the actual area of the entire driveway they want to pave? ​

Mathematics
1 answer:
Rufina [12.5K]3 years ago
7 0

Answer:

1350 ft²

Step-by-step explanation:

First off, I notice that the triangle at the bottom can fit the slant at the top to make a perfect rectangle.

This will leave us with a rectangle. We can add up 4 and 5 for the sum of 9, making one side 9 inches.

5 + 4 = 9 in

We multiply 9 by 3 to get the actual length of that side

9 x 3 = 27 ft.

We multiply 16 and two-thirds by 3 to get the actual length of the other side

16\frac{2}{3} x 3 = 50 ft.

To find the area of this rectangle we multiply length and width

50 x 27 = 1350 ft²

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The sum of 1/6,2/3, and 1/4 is
Bumek [7]

¹³/₁₂

<h3>Further explanation</h3>

<u>Given:</u>

\boxed{ \ \frac{1}{6} + \frac{2}{3} + \frac{1}{4} = ? \ }

  • A fraction represents part of a whole.
  • A fraction consists of a numerator and a denominator. i.e., \boxed{ \ \frac{numerator}{denominator} \ }.
  • The numerator = the number of equal parts of a whole.
  • The denominator = the total number of parts that make up said whole.

From the problems above, the denominator or the bottom numbers are still different. We use the Least Common Multiple (or LCM) to equalize the denominator.

  • Multiples of 3: \boxed{ \ \{3, 6, 9, 12, 15, ... \} \ }
  • Multiples of 4: \boxed{ \ \{4, 8, 12, 16, ... \} \ }
  • Multiples of 6: \boxed{ \ \{6, 12, 18, ... \} \ }

Hence, the LCM for 3, 4, and 6 is 12.

We change the denominator for each fraction to 12.

\boxed{ \ \frac{1}{6} \rightarrow \frac{multiply \ by \ 2}{multiply \ by \ 2} \rightarrow \frac{2}{12} \ }

\boxed{ \ \frac{2}{3} \rightarrow \frac{multiply \ by \ 4}{multiply \ by \ 4} \rightarrow \frac{8}{12} \ }

\boxed{ \ \frac{1}{4} \rightarrow \frac{multiply \ by \ 3}{multiply \ by \ 3} \rightarrow \frac{3}{12} \ }

Then we continue adding fractions.

\boxed{ \ \frac{1}{6} + \frac{2}{3} + \frac{1}{4} = \frac{2}{12} + \frac{8}{12} + \frac{3}{12} \ }

\boxed{ \ \frac{1}{6} + \frac{2}{3} + \frac{1}{4} = \boxed{ \ \frac{13}{12} \ } \ }

Thus, the result is \boxed{ \ \frac{13}{12} \ or \ 1\frac{1}{12}\ }

<h3>Learn more</h3>
  1. ²/₇m - ¹/₇= ³/₁₄ solve step by step brainly.com/question/4853649
  2. 100 is 1/10 of what? brainly.com/question/96535
  3. Mr. Frye distributed his money equally among his 4 children for their weekly allowance brainly.com/question/13174288#

Keywords: the sum of ¹/₆, ²/₃, and ¹/₄, fraction, adding, numerator, denominator, still different, LCM

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Answer:

Step-by-step explanation:

The area of this parallelogram is

A=hb (height times base)

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h=(14.4mi^2)/(4.8mi)

h=3 mi

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