Question

the area of a trapezium is 168cm^2 and the length of one of the parallel sides is 30 cm and height is 8 cm. find the length of the other parallel side​

Answer 1

Step-by-step explanation:

CORRECT question :-

→ The area of trapezium is 168 cm² and it's height is 8 cm. If one of the parallel side is longer than other by 6 cm. Find the length of each of the parallel sides.

\huge\underline\green{\tt Solution: }

Solution:

Let one parallel side be ' x ' cm then, other will be ' x + 6 ' cm.

Area of trapezium = \dfrac{1}{2}

2

1

( sum of parallel sides ) × height

According to question

\dfrac{1}{2}

2

1

( x + x + 6 ) × 8 = 168

⇒ ( 2x + 6 ) × 4 = 168

⇒ 2x + 6 = \dfrac{168}{4}

4

168

⇒ 2x + 6 = 42

⇒ 2x = 42 - 6

⇒ 2x = 36

⇒ x= \dfrac{36}{2}

2

36

∴ x = 18

Now,

other will be 18 + 6 = 24 cm

Answer: one of the parallel side is 18 cm and other will be 24 cm.

\huge\underline\green{\tt Verification : }

Verification:

\dfrac{1}{2}

2

1

( 18 + 24 ) × 8 = 168

⇒ \dfrac{1}{2}

2

1

( 42 ) × 8 = 168

⇒ 42 × 4 = 168

⇒ 168 cm² = 168 cm²

L.H.S = R.H.S

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