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Question
What is the area of the rhombus ABCD below if AC = 6 cm and BE = 4 cm?
Options
36 cm2
16 cm2
24 cm2
13 cm2
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Solution
24 cm2
Explanation:
The diagonal AC of the rhombus ABCD divides it into two triangles of equal areas.
Now, area of ΔABC = `1/2` × Base × Height
= `1/2 xx 4 xx 6`
= 12 cm2
∴ Area of the rhombus ABCD = 2 × Area of ΔABC
= 2 × 12
= 24 cm2
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