Answer:
2160ft²
Explanation:
rhombus formed by 4 right triangles, 51ft hypotenuse and 45ft cathetus (90: 2 = 45). we use pythagoras to find the missing side so that we can find the area of a triangle and multiply it by 4
c = √(51²-45²)
c = √(2601 - 2025)
c = √576
c = 24ft
Area triangle= (½)×b×h
(½)45 * 24 =
(½)1080=
540ft²
multiply by 4
540 * 4 =
2160ft² (Area of the rhombus)
or
Rhombus Area Using Diagonals:
A = ½ × d1 × d2
A = ½ * 90 * 48
A = 2160ft² (Area of the rhombus)