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A rectangle of area 350 square feet is 14 times as wide as it is wide. Find its length and width

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Answer to a math question A rectangle of area 350 square feet is 14 times as wide as it is wide. Find its length and width

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Miles

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114 Answers

Solution:
1. Let the width of the rectangle be

feet.
2. Then the length of the rectangle is

14w

feet, as given.
3. The area of a rectangle is given by the formula

\text{Area} = \text{length} \times \text{width}

.
4. Plug in the known values:

350 = 14w \times w

5. Simplify and solve for

350 = 14w^2

w^2 = \frac{350}{14}

w^2 = 25

w = \sqrt{25}

w = 5

6. Now find the length:

\text{Length} = 14w = 14 \times 5 = 70

Thus, the dimensions of the rectangle are:
- Width:

feet
- Length:

feet

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A rectangle of area 350 square feet is 14 times as wide as it is wide. Find its length and width

Answer to a math question A rectangle of area 350 square feet is 14 times as wide as it is wide. Find its length and width

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