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borishaifa [10]
3 years ago
9

a rectangles width is 6 feet less than its length. if the area of the rectangle is 247 square feet what is its length in feet

Mathematics
2 answers:
Natasha2012 [34]3 years ago
5 0

Answer:

The answer is

<h2> 19 feet</h2>

Step-by-step explanation:

Area of a rectangle = length × width

let w be the width and l be the length

Area of rectangle = 247 ft²

width is 6 feet less than its length is

w = l - 6

247 = l( 1 - 6)

l² - 6l - 247 = 0

(l + 13) (l - 19) = 0

l + 13 = 0 l - 19 = 0

l = - 13 l = 19

Since the length should be positive

The length of the rectangle is

<h3> 19 feet</h3>

Hope this helps you

Natalija [7]3 years ago
4 0

Answer:

Length of the rectangle, L = 19 ft

Step-by-step explanation:

Area of a rectangle = Length * Width

Area of the rectangle, A = 247 ft²

Let the length of the rectangle be L

The width of the rectangle = W

Since the width of the rectangle is 6 ft less that the length;

W = L - 6

A = L * W

247 = L * (L - 6)

247 = L² - 6L

L² - 6L - 247 = 0

By solving the quadratic equation above:

(L - 19)(L + 13) = 0

L - 19 = 0, L = 19

L + 13 = 0; L = -13

Since the length of a rectangle cannot be negative, L = 19 ft

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6 0
3 years ago
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Step-by-step explanation:

First, know the following:

If the graphs intersect, there's only one solution.

If the graphs are parallel, there are no solutions.

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For a):

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Change the second equation into a linear one.

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For b)

They are already in linear form so hurray.

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Brrunno [24]

The number is -6.67

<em><u>Solution:</u></em>

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\text{Sum of number and 1/3 } = n + \frac{1}{3} =\frac{3n+1}{3}

Given that,

Five less than 1/5 times a number is the same as the sum of the number and 1/3

Therefore, we get,

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7 0
3 years ago
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m_a_m_a [10]

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<u />

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