If the area of parallelogram ABCD is 54 square units, what is the area of parallelogram ABEF? [Given: O and P are the midpoints of AD and BC respectively]
[4 MARKS]

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Solution

Construction: 1 Mark
Application: 2 Marks
Answer: 1 Mark

O and P are the midpoints of AD and AC respectively.

$S o, F R = \frac{D Q}{2}$

Also, AB || CD and AB || EF. This implies that EF || CD.

Area of ABCD = $A B \times D Q$

Area of $A B E F = A B \times F R = A B \times (\frac{D Q}{2}) = \frac{1}{2} \times (A r e a o f A B C D) = \frac{1}{2} \times 54 = 27$ square units.

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If the area of parallelogram ABCD is 54 square units, what is the area of parallelogram ABEF? [Given: O and P are the midpoints of AD and BC respectively] [4 MARKS]

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If the area of parallelogram ABCD is 54 square units, what is the area of parallelogram ABEF? [Given: O and P are the midpoints of AD and BC respectively]
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