Question

2. In the following quadrilateral PQRS, the area of the quadrilateral is 360 cm? If PR = 24 cm and SM = 10.4

cm, then find the measure of NQ.
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Answer 1

PR × SM + PR × NQ = 360

24× 10.4 + 24 × NQ = 360

249.6 + 24 × NQ = 360

24 × NQ = 360 - 249.6

24 × NQ = 110.4

NQ = 110.4 / 24

NQ = 4.6 CM

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