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.
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?

Answer 1

Answer:

C. 120 ft

Step-by-step explanation:

Took test on edge.

Answer 2

Answer:

Perimeter of Rhombus : 240 ft

Step-by-step explanation:

consider a rhombus with sides A , B , C , D .

TO CALCULATE  SIDE A ,

using  Cos ( theta ) = base / hypotenus

here ,

taking theta = 60 - (due to the shorter distance consideration

Base = 15

A = Base of triangle / (cos 30 )

A =  15 / cos (60)

A = 30 feet

since it is formed by 4 identical triangle ,

all sides  will measure 17.320 feet

hence perimeter of the rhombus is

Perimeter : 4 A

Perimeter : 4 ( 60)

Perimeter :  240 feet