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Question

Given equilateral ABCD with right angles in B and D. We also know that BC=1,CD=4 and DA=3 units. What is the area of ABCD
1159514_7f7ec303f866493aa5a8e8d1cefe604c.png

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Solution

Length of AE=1
l(DE)=31=2
l(CE)=16+4=20
Area of ABCE=(1)(20)=20units2
=25units2
Area of ΔCDE=12×(4)(2)
=4units2
Area of ABCD=(4+25)units2

1067099_1159514_ans_6b5bc390117148ef92785224080ba895.png

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