Question

Q.13) The ratio of parallel sides of a trapezium is 7:5 and its height is 14 cm. If are
of traprizum is 252 sq. cm. Find the lengths of parallel sides.
1) 21 cm, 15 cm
2) 28 cm, 18 cm
3) 14 cm, 9 cm
4) 28 cm, 21 cm​

Answer 1

Answer:

Step-by-step explanation:

Area of Trapezium=1/2 X height X (sum of parallel sides)

Area=252sq.cm

Height=14 CM

Parallel sides ratio=7:5

Let parallel sides of Trapezium be

7x and 5x

Applying Formula......

252=1/2 X 14 X (7x+5x)

252=1/2 X 14 X 12x

252=7 X 12x

252÷7=12x

36=12x

x=36÷12

x=3

1st parallel side=7x=7 X 3=21cm

2nd parallel side=5x=5 X 3=15cm

1st opotion is correct✅

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