Leah's rectangular driveway is 48 feet long and 14 feet wide. With sidewalk chalk, Leah drew a straight diagonal line on her driveway from one corner to the opposite corner.

Question

How long is the diagonal line Leah drew?
25 feet
46 feet
50 feet
62 feet

Answer 1

To find the length of the diagonal line Leah drew, we can use the Pythagorean theorem. The formula is:

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

where \( c \) is the length of the diagonal, and \( a \) and \( b \) are the lengths of the sides of the rectangle.

In Leah's case:

• \( a = 48 \) feet (length of the driveway)
• \( b = 14 \) feet (width of the driveway)

Now we can calculate \( c \):

\[ c = \sqrt{48^2 + 14^2} \] \[ c = \sqrt{2304 + 196} \] \[ c = \sqrt{2500} \] \[ c = 50 \text{ feet} \]

So, the length of the diagonal line Leah drew is 50 feet.