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use your formula to determine the height of a trapezoid with an area of 24 square centimeters and base length of 9 cm and 7 cm

User RaffleBuffle
by
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1 Answer

18 votes
18 votes

Answer

The height of the trapezoid = 3 cm

Step-by-step explanation

The area of a trapezoid is given as

Area = ½ (a + b) h

where

a and b = base lengths of the trapezoid

a = 9 cm

b = 7 cm

h = height of the trapezoid = ?

Area = 24 cm²

Area = ½ (a + b) h

24 = ½ (9 + 7) h

24 = ½ (16) h

24 = 8h

8h = 24

Divide both sides by 8

(8h/8) = (24/8)

h = 3 cm

Hope this Helps!!!