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Given: LM ∥ KN , KL ∥ NM LP = h­1 = 5 cm, MQ = h2 = 6 cm PKLMN = 42 cm Find: Area of KLMN

User Zofia
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1 Answer

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Answer:

Area = 630/11 cm² = 57 3/11 cm²

Explanation:

Area = (5 cm)(KN) = (6 cm)(KL)

Perimeter = 2(KN +KL) = 42 cm

So, ...

KN = 1.2·KL . . . . divide the area equation by 5 cm

1.2·KL +KL = 21 cm . . . . . divide the perimeter equation by 2

KL = (21 cm)/2.2 . . . . . . . divide by the coefficient of KL

Substituting for KL in the area equation, we have ...

Area = (6 cm)(21 cm)/2.2 = 630/11 cm²

User Dylan Vander Berg
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