The area of a rhombus is 72 cm sq. If the altitude of the rhombus is half of the corresponding base, determine the measure of each side of the rhombus.

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Solution

$h = \frac{1}{2} b$
$b \times h = 72$
$\frac{b^{2}}{2} = 72$
$b^{2} = 144$
$b = \pm 12$
$b = 12 [∵ b \neq - 12]$
$∴$ Measure of each side of the rhombus is 12 cm

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The area of a rhombus is 72 cm sq. If the altitude of the rhombus is half of the corresponding base, determine the measure of each side of the rhombus.

h=12b b×h=72 b22=72 b2=144 b=±12 b=12 [∵b≠−12] ∴ Measure of each side of the rhombus is 12 cm

$h = \frac{1}{2} b$
$b \times h = 72$
$\frac{b^{2}}{2} = 72$
$b^{2} = 144$
$b = \pm 12$
$b = 12 [∵ b \neq - 12]$
$∴$ Measure of each side of the rhombus is 12 cm