The ratio of the diagonals of a rhombus
is 4:5. If area of it is 1000 cm2, find the length of both diagonals
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Step-by-step explanation:
Diagonal 1 = 4x
Diagonal 2 = 5x
Area = 1000 cm^2
Area of Rhombus = 1/2 × D1 × D2
= 1000 = 1/2 × 4x × 5x
= 1000 = 1/2 × 20x
= 1000 = 10x
= 1000/10 = x
= 100 = x
= x = 100 cm
Diagonal 1 = 4x
= 4(100)
= 400 cm
Diagonal 2 = 5x
= 5(100)
= 500 cm
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