1.

1). 66.6 ft2 2). 76.6 ft2 3). 86.6 ft2 4). 96.6 ft2 

Answer»

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 x be the acute angle. The obtuse angle is twice: 2x. Which gives the FOLLOWING equation.

x + 2 x = 180 degrees.

Solve the above equation for x.

3x = 180 degrees.

x = 60 degrees.

We use formula 2 for the area of a rhombus knowing the side length and one of the angles.

area of rhombus = (10 feet) 2 SIN (60 degrees)

= 86.6 feet 2 (rounded to 1 decimal PLACE)

[Updated by Reviwer]



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