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Answer:

  • 40 sq. units

Step-by-step explanation:

Solution 1

The figure (kite) is symmetric and covers half of the area of rectangle with sides 8 units aby 10 units

The area of the rectangle:

  • A = 8*10 = 80 sq. units

The area of the kite:

  • A = 1/2*80 = 40 sq. units

Solution 2

Split the kite into two triangles and calculate their area and add up

Triangle DCB has b = 8, h = 2 and has area:

  • A = 1/2*8*2 = 8 sq. units

Triangle DAB has b = 8, h = 8 and has area:

  • A = 1/2*8*8 = 32 sq. units

Total area:

  • 8 + 32 = 40 sq. units

Answer:

Step-by-step explanation:

area=(product of diagonals)/2=(10×8)/2=40 sq. units.

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