Answer:
83 in²
Step-by-step explanation:
To calculate, add the areas of all three shapes that make up the polygon.
Area of rectangle = L×W = 5×8 = 40 in².
Area of top triangle = 1/2×b×h = 1/2×8×7=28 in².
Area of triangle on the right = 1/2×6×5 = 15 in².
Total area = 40+28+15 = 83 in²
Answer:
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Step-by-step explanation:
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Answer:
31.18 units²
Step-by-step explanation:
The diagonals bisect the angles.
⇒ Angle at half the rhombus = 120 ÷ 2 = 60°
Both sides of the triangle are 6 units:
⇒ Half the rhombus is also an isosceles triangle.
⇒ the other angle is also 60°.
Both angles are 60°,
⇒ the third angle is 180 - 60 - 60 = 60°
⇒ it is an equilateral triangle.
Area of an equilateral triangle = √3/4 (6)² = 15.59 units²
The rhombus is made up of two of the triangles.
⇒ Area of the rhombus = 15.59 x 2 = 31.18 units²
Answer:
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Step-by-step explanation:
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