Agarden 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
60 ft
60 sq rt 3 ft
120 ft
120 sq rt 3 ft

legs of the triangles

Each triangle 30-60-90 is:

         one leg: 15 ft => short diagonal = 2 * 15ft = 30ft

         other leg, x:

         tan(30) = 15 / x => x = 15 ft / tan(30) = 25.98 ft

=> long diagonal = 2 * 25.98ft = 51.96 ft

side of the rhoumbus =  hypotenuse of one triangle

side of the rhombus = √ [ (15)^2 + (25.98)^2 ] = √(900) = 30 ft

Area of the rhombus:

4 * area of one triangle = 4 [base*height/2] = 4*15*25.98/2 = 779.43 ft^2

The shortest distance accross the garden is equal to the side of the rhombus = 30 ft