Question

Area of a Trapezium is 324 m

2.One of the parallel sides is 14 m

longer than the other and height is 18 m. Find its two parallel sides?. I'M WEAK IN MATHS PLEASEEE HELP​

Answer 1

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Given:

• Area of the trapezium = 324m²

• One of the parallel side is 14m longer than the other side.

• Height of the trapezium = 18m

To find:

• The two parallel sides

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Solution:

• As one of the parallel side is 14m longer than the other, First parallel side = 14 + Other parallel side.

• Let the other parallel side be 'x'

• Therefore, The first parallel side = 14+x

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Formula to find Area of trapezium:

•Area of trapezium = ½ × Sum of parallel sides × h

On applying the formula,

⇒ ½ × (14+y+y) × 18 = 324

⇒ ½ × 14+2y × 18 = 324

⇒ 14+2y × 18 = 324 × 2

⇒ 14+2y × 18 = 648

⇒ 14+2y = 648/18

⇒ 14+2y = 36

⇒ 2y = 36-14

⇒ 2y = 22

⇒ y = 11

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• First Side = 14+y = 14+11 = 25

• Second side = y = 11

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