Find the area of each trapezoid or kite

9514 1404 393

  8)  42 in²

  9)  33 cm²

  10)  112 yd²

Step-by-step explanation:

8) The area is given by the formula ...

  A = 1/2(b1 +b2)h

  A = (1/2)(9 in +5 in)(6 in) = 42 in²

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9) The area is half the product of the lengths of the diagonals.*

  A = 1/2(d1)(d2)

  A = 1/2(6 cm)(11 cm) = 33 cm²

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10) As in the previous problem, ...

  A = 1/2(14 yd)(16 yd) = 112 yd²

* This formula works for any quadrilateral with perpendicular diagonals.

18

step-by-step explanation:

draw the shape and you will see that f and k are actually at adjacent vertices (points of the hexagon that are neighboring).   so find the distance between (1,2) and (4,2).   that is easy since (1,2) and (4,2) is just a vertical distance to count, which is 3.   it is a regular polygon which means all sides are congruent.   you have 6 sides (hexa) so multiply 6 by 3 to receive 18.