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3 years ago

the perimeter of a gsrden is 14ft if the length is 1ft more than the width what is the width and length

Mathematics

1 answer:

zalisa [80]3 years ago

4 0

Answer:

Width = 3

Length = 4

Step-by-step explanation:

the perimeter = L+L+W+W

we know the perimeter to be 14 so 14 = L+L+W+W and it tells us the length is 1ft more the the width so the width will be x and the length will be x+1

14 = x+1+x+1+x+x

Combind like terms:

14 = 4x+2

-2 +14 = 4x+2 -2

12 = 4x

12/4 = (4x)/4

x = 3

Taking this peice of information we stick it back into our side lengths.

x and x+1

the width = x and length = x+1

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Step-by-step explanation:

1. Multiple: 3 * 8 = 24

2. Multiple: The result of step No. 1: * 1 = 24 * 1 = 24

3. Conversion a decimal number to a fraction: 8.1 = $\frac{81}{10}$ = $\frac{81}{10}$

a) Write down the decimal 8.1 divided by 1: 8.1 = $\frac{81}{1}$

b) Multiply both top and bottom by 10 for every number after the

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$\frac{8.1}{1}$ = $\frac{81}{10}$

Note: $\frac{81}{10}$ is called a decimal fraction.

c) Simplify and reduce the fraction

$\frac{81}{10} = \frac{81*1}{10*1} = \frac{81}{10}$

4. Multiple: 3 * 8.1 = $\frac{3*81}{1*10}$ = $\frac{243}{10}$

Multiply both numerators and denominators. Result fraction keep to lowest

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In words - three multiplied by eighty-one tenths = two hundred forty-three

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5. Compare: The result of step No. 2 vs The result of step No. 4: = 24 vs $\frac{243}{10}$ = $\frac{24}{1}$ vs $\frac{243}{10}$ = $\frac{24*10}{1*10}$ vs $\frac{243}{10}$ = $\frac{240}{10}$ vs $\frac{243}{10}$ = 240 vs 243 = No

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kati45 [8]

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2 years ago

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