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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.

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 short diagonal is 30, so each right triangle has a short leg 15. In a 30°‑60°‑90° triangle the hypotenuse is twice the short leg, so each side of the rhombus is 2·15 = 30 ft. Perimeter = 4·30 = 120 ft.