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Question
In the following figure, EFGH is a parallelogram, altitudes FK and FI are 8 cm and 4 cm respectively. If EF = 10 cm, then area of EFGH is ______.
Options
20 cm2
32 cm2
40 cm2
80 cm2
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Solution
In the following figure, EFGH is a parallelogram, altitudes FK and FI are 8 cm and 4 cm respectively. If EF = 10 cm, then area of EFGH is `bb(underline(40 cm^2))`.
Explanation:
From the figure,
Consider the parallelogram EFGH,
EF = HG = 10 cm ...[From the question]
We know that,
Area of parallelogram EFGH = Base × Corresponding height
= 10 × 4
= 40 cm2
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