136,180 views
25 votes
25 votes
Christopher has a garden in the shape of a square with a side length of 24 feet. He plans to plant tomatoes along the

diagonal. How long is the diagonal of Christopher's garden?

A - 48 Ft
B - 24 Ft
C - 24 square root of 2
D - 24 square root of 3

User Hackinet
by
2.6k points

1 Answer

7 votes
7 votes

9514 1404 393

Answer:

C - 24 square root of 2

Explanation:

In case you haven't memorized the fact that the diagonal of a square is √2 times the side length, you can figure it from the Pythagorean theorem.

d² = s² + s² . . . . square of hypotenuse is sum of squares of sides

d² = 2s²

d = s√2 = (24 ft)√2 = 24√2 ft

User Karoly Horvath
by
2.8k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.