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mojhsa [17]
2 years ago
6

An architect is designing a rectangular house that is 60 feet long and 40 feet wide. He uses of the area for the 1/4 living room

and of the area for the 1/6 kitchen. What area, in square feet, is left over for other parts of the house?
A 1400 ft2
B 1000 ft2
C 140 ft2
D 100 ft2
Mathematics
1 answer:
Lynna [10]2 years ago
5 0

Answer:

6o×40=2400

area 1/4=2400÷4=600

area 1/6=600÷6=100

(d)=100 ft2

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<h2>Hello!</h2><h2>The answer is:</h2>

Rachel swam  \frac{5}{12}   miles or 0.42 miles   more than Jason.

<h2>Why?</h2>

To calculate how many miles did Rachel swim more than Jason, we need to write the following equation:

Difference=RachelMiles-JasonMiles

Where,

Difference, is equal to the number of Miles that Rachel did more than Jason

RachelMiles, is equal to 2 2/3rd miles plus 4.5 miles.

Jason Miles, is equal to 3.5 miles plus 3 1/4th miles.

Also, we need to remember the following:

- How to convert mixed fractions to improper fractions,

a\frac{b}{c}=a+\frac{b}{c}

- How to add or subtract fractions and whole numbers.

a+\frac{b}{c}=\frac{ac+b}{c}

Now, we are given the following information:

Jason's miles:

JasonMiles=3\frac{1}{2}+3\frac{1}{4} =(3+\frac{1}{2})+(3+\frac{1}{4})\\\\JasonMiles=(3+\frac{1}{2})+(3+\frac{1}{4})=(\frac{(2)*(3)+1}{2})+(\frac{(3)*(4)+1}{4})\\\\JasonMiles=(\frac{(2)*(3)+1}{2})+(\frac{(3)*(4)+1}{4})=\frac{7}{2}+\frac{13}{4}\\\\JasonMiles=\frac{(7)*(4)+(2)*(13)}{8}=\frac{28+26}{8}=\frac{54}{8}\\\\JasonMiles=\frac{54}{8}=\frac{27}{4}miles

Rachel's miles:

RachelMiles=2\frac{2}{3}+4\frac{1}{2}=(2+\frac{2}{3})+(4+\frac{1}{2})\\\\RachelMiles=(2+\frac{2}{3})+(4+\frac{1}{2})=(\frac{(2)*(3)+2}{3})+(\frac{(4)*(2)+1}{2})\\ \\RachelMiles=(\frac{(2)*(3)+2}{3})+(\frac{(4)*(2)+1}{2})=\frac{6+2}{3} +\frac{8+1}{2}\\\\RachelMiles=\frac{6+2}{3} +\frac{8+1}{2}=\frac{8}{3}+\frac{9}{2}\\\\RachelMiles=\frac{8}{3}+\frac{9}{2}=\frac{(8)*(2)+(3)*(9)}{(3)*(2)}\\\\RachelMiles=\frac{(8)*(2)+(3)*(9)}{(3)*(2)}=\frac{16+27}{6}=\frac{43}{6}miles

Now, substituting the miles swam by Rachel and Jason into the equation, we have:

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Hence, we found that Rachel swam 0.42 miles more than Jason.

Have a nice day!

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