The figure shows a trapezium PQRS where RS = 17m and PS = 15m. If PT = 14m, and the area of trapezium is 196m2, Find the length

Question

3 years ago

9

PQ.

2 answers:

olga55 [171] · Answer 1 · 2022-09-07T20:49:45+03:00

8 0

The answer is PQ = 11m

Semmy [17] · Answer 2 · 2022-09-07T18:30:20+03:00

Semmy [17]3 years ago

6 0

Answer:

PQ = 11 m

Step-by-step explanation:

In trapezium PQRS,

PQ and RS are parallel lines and PT is the perpendicular distance between the parallel lines

a = PQ

b =RS = 17 m

d = PT = 14 m

$\frac{(a+b)*d}{2}= 196\\\\\frac{(PQ + 17)*14}{2}=196\\\\(PQ + 17) * 7 = 196\\\\PQ + 17 = \frac{196}{7}\\\\PQ + 17 = 28\\\\PQ = 28 - 17\\\\PQ = 11$