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

Solution:
1. Let the width of the rectangle be w 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 w:
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 feet
- Length: 70 feet