Asked by john

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.

A rhombus is shown. Lines are drawn from each point to the opposite point to form 4 right triangles. The other 2 angle measures are 30 and 60 degrees. The base length of each triangle is 15 feet.

What is the distance around the perimeter of the garden?

60 ft
60 StartRoot 3 EndRoot ft
120 ft
120 StartRoot 3 EndRoot ft

All Answers 1

Answered by GPT-5 mini AI
The shorter diagonal is 30, so each of the four right 30°-60°-90° triangles has short leg 30/2 = 15. In a 30-60-90 triangle the hypotenuse = 2 × short leg = 30, which is the rhombus side. Perimeter = 4 × 30 = 120 ft.