Question

a fence is going to diagonally divide a 30 foot by 24 foot rectangular garden in half. approximately how long, in feet, should the fence be?

Answer 1

To find the length of the diagonal fence that divides a rectangular garden measuring 30 feet by 24 feet, we can use the Pythagorean theorem. The diagonal acts as the hypotenuse of a right triangle formed by the length and width of the rectangle.

The formula for the Pythagorean theorem is:

\[
c = \sqrt{a^2 + b^2}
\]

where:
- \( c \) is the length of the diagonal,
- \( a \) is the length of one side (30 feet),
- \( b \) is the length of the other side (24 feet).

Plugging in the values:

\[
c = \sqrt{30^2 + 24^2}
\]
\[
c = \sqrt{900 + 576}
\]
\[
c = \sqrt{1476}
\]
\[
c \approx 38.4 \text{ feet}
\]

Thus, the length of the fence should be approximately **38.4 feet**.