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kati45 [8]
3 years ago
5

For a given set of rectangles, the length is inversely proportional to the width. In one of these rectangles, the length is 58 a

nd the width is 3. For this set of rectangles, calculate the width of a rectangle whose length is 2.
Mathematics
1 answer:
goldfiish [28.3K]3 years ago
7 0

Answer:

The width is 87

Step-by-step explanation:

Given

Represent Length with L and Width with W

Variation: Inverse Proportion

L \alpha \frac{1}{W}

L = 58; W = 3

Required

Solve for W when L = 2

First, we need to determine the constant of variation

L \alpha \frac{1}{W}

L = \frac{k}{W}

Where

k = constant of variation

Substitute the following values: L = 58; W = 3

58 = \frac{k}{3}

Solve for k

k = 58 * 3

k = 174

To solve for W when L = 2, we simply substitute values for L and K in the expression L = \frac{k}{W}

2 = \frac{174}{W}

Solve for W

2 * W = 174

2 W = 174

W = 174/2

W = 87

<em>Hence, the width is 87</em>

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