1.

1). 56.822). 56.283). 57.824). 57.28

Answer»

[NOTE: A rhombus has 2 congruent opposite acute angles and two congruent opposite OBTUSE angles. One of the properties of a rhombus is that any two internal consecutive angles are supplementary.]

Let the acute angle be A

⇒ The obtuse angle = 3A

⇒ 4A = 180

⇒ A = 45

Now, use the formula for area of a triangle and then MULTIPLY the area by 2 

∴ Area of rhombus = $(2 \times 1/2 \times {9^2} \times \sin 45 = 81 \times \frac{1}{{\sqrt 2 }} = 57.28)$ feet2 (approx) 



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