Question

The area of a rhombus is 184cm^2 and its perimeter is 64cm.find its altitude

Answer 1

Perimeter of rhombus = 4 × side = 64 cm
side = 64÷ 4 = 16 cm
Area of rhombus = base × altitude = 184 cm^2
altitude = 184÷ 16 = 11.5cm

Answer 2

Perimeter of Rhombus
$= 4 \times s$
$= > 4s = 64 \\ = > s = 16cm.$



Area of Rhombus
$= b \times h = s \times h \\ = > s \times h = 184 \\ = > h = \frac{184}{s} = \frac{184}{16} \\ = > Altitude \: of \: rhombus = 11.5 {cm}^{2}.$




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