Question

perimeter of a rhombus is 260 cm and height is 10 centimetre if one of the diagonal of a rhombus is 0.25 m find the length of other diagonal in metre​

Answer 1

Perimeter of a rhombus = 260 cm = 4a (with 'a' being side of rhombus)

a=260/4=65 cm

area of rhombus=area of parallelogram= base * height

                                                                 = 65 * 10 (given)

                                                                 = 650 cm²

area of rhombus = $\frac{1}{2}*d_{1}*d_{2}$

                            = $\frac{1}{2}*25*d_{2}$

650*2/25 = d₂

1300/25 = d₂

52 cm = d₂

⇒0.52 m = d₂

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