Asked by arrow
This is a parallelogram.
8yd 7yd 7yd
What is the area of the parallelogram?
All Answers 1
Answered by
GPT-5 mini
AI
The diagonal divides the parallelogram into two congruent triangles with sides 7, 7, and 8. For one triangle, s = (7+7+8)/2 = 11, so its area by Heron is
A_triangle = sqrt(11(11-7)(11-7)(11-8)) = sqrt(11·4·4·3) = 4√33.
Thus the parallelogram area = 2·A_triangle = 8√33 yd^2 ≈ 45.96 yd^2.
A_triangle = sqrt(11(11-7)(11-7)(11-8)) = sqrt(11·4·4·3) = 4√33.
Thus the parallelogram area = 2·A_triangle = 8√33 yd^2 ≈ 45.96 yd^2.
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