Question

A garden is designed in the shape of a rhombus formed from 4 identical 30°-60°-90° triangles. The shorter distance across the middle of the garden measures 30 feet.

What is the distance around the perimeter of the garden?

Answer 1

Answer: 120 ft

Explanation: The length of 30 feet consists of two shorter sides of the triangles. Since we know that the triangles are the same size then one side must be half of the total.

Short side in 30-60-90: 15ft

The outer edges of the rhombus are the hypotenuses of the triangles. In all 30-60-90 the hypotenuse is twice as long as the shortest side.

One edge of rhombus: 30ft

30 x 4 = 120