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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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
Miles
4.9114 Answers
Solution:
1. Let the width of the rectangle bew
2. Then the length of the rectangle is14w
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 forw
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:5
- Length:70
1. Let the width of the rectangle be
2. Then the length of the rectangle is
3. The area of a rectangle is given by the formula
4. Plug in the known values:
5. Simplify and solve for
6. Now find the length:
Thus, the dimensions of the rectangle are:
- Width:
- Length:
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