Question

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If the diagonals of the rhombus are in the ratio 4:7 and the area is 504sqcm find the length of the diagonals​

Answer 1

Diagonals are,

4x = 24 cm

7x = 42 cm

Answer 2

Answer:

Answer

area of rhombus

=(D₁ X D2)/2

Finding the diagonals:

(4x x 7x)/2 = 504

(4x x 7x)/2 = 50428x² = 504 x 2

28x² = 1008

x² = 1008/28

x² = 1008/28x² = 36

x² = 1008/28x² = 36x² = 6²

x² = 1008/28x² = 36x² = 6²x = 6

Smaller diagonal = 4x = (4 × 6) = 24 cm

Bigger diagonal = 7x (7 x 6) = 42 cm