159k views
1 vote
the sides of a vegetable garden in the shape of a right triangle are in the ratio of 3:4:5. if the perimeter is 96 feet, what is the length of the shortest side ?

User Weekend
by
5.5k points

1 Answer

2 votes

Answer:

The shortest side has length 24 ft

Explanation:

Try this: 3x + 4x + 5x =96 ft, or

12x = 96 ft

Then x = (96 ft) / 12, or x = 8

Multiplying this factor 8 by 3, we get 24. The shortest side has length 24 ft.

The middle-length side is 4(8), or 32.

The longest side is 5(8), or 40.

Check: Do 40 and 32 and 24 add up to 96 ft?

do 72 and 24 add up to 96 ft?

Yes.

User Ycenycute
by
5.1k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.