Question

The length of one diagonal of a rhombus is 8 cm. The area of the rhombus is 72 cm2. What is the length of the other diagonal of the rhombus?

Answer 1

18 cm

Explanation:

From the question above,

Area of a rhombus

A = d₁d₂/2.................. Equation 1

Where A = area of the rhombus, d₁ = length of one diagonal, d₂ = length of the other diagonal

make d₂ the subject of the equation

d₂ = 2A/d₁............... equation 2

Given: A = 72 cm², d₁ = 8 cm

Substitute these values into equation 2

d₂ = (2×72)/8

d₂ = 144/8

d₂ = 18 cm.