finding a width for a rectangle that has the length of 70 ft and the perimeter of 160

To find the width of the rectangle, you can use the formula for the perimeter of a rectangle:

\[
P = 2L + 2W
\]

Where:
- \(P\) is the perimeter,
- \(L\) is the length,
- \(W\) is the width.

Given:
- \(P = 160\) ft,
- \(L = 70\) ft.

Now, substitute the known values into the perimeter formula:

\[
160 = 2(70) + 2W
\]

Simplifying:

\[
160 = 140 + 2W
\]

Subtract 140 from both sides:

\[
160 - 140 = 2W
\]

\[
20 = 2W
\]

Now, divide both sides by 2:

\[
W = \frac{20}{2} = 10 \, \text{ft}
\]

Thus, the width of the rectangle is 10 feet.

Would you like a further explanation or more details on this? Here are some related questions to explore:

1. How would you find the area of this rectangle?
2. What would the width be if the perimeter were 200 ft?
3. Can the length be shorter than the width for the same perimeter?
4. How does changing the perimeter affect the dimensions of the rectangle?
5. What if the length is doubled—how would the width change for the same perimeter?

**Tip:** Always remember to halve the perimeter first before solving for width or length to make calculations easier!

Learn how to calculate the width of a rectangle with a length of 70 feet and a perimeter of 160 feet. This step-by-step guide uses the perimeter formula and is suitable for students in Grades 5-7.

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