Question

The ratio of the length of the parallel sides
a trapezium is 5:3 and the distance between
them
is 16cm. If the
trapezlum is 960cm?, find the length of
the parallel sides​

Answer 1

Answer:

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Answer 2

Gɪᴠᴇɴ , Rᴀᴛɪᴏ ᴏғ ʟᴇɴɢᴛʜ ᴏғ ᴘᴀʀᴇʟʟᴇʟ sɪᴅᴇs ᴏғ ᴀ ᴛʀᴀᴘᴇᴢɪᴜᴍ = 5 : 3

Therefore , sides are 3x and 5x

Dɪsᴛᴀɴᴄᴇ ʙᴇᴛᴡᴇᴇɴ ᴘᴀʀᴇʟʟᴇʟ sɪᴅᴇs =ʜᴇɪɢʜᴛ=16ᴄᴍ

Area = 960 sq.cm

Sᴏʟⁿ:-

Area of trapezium = ½ × ( a + b ) × h

960 = ½ × ( 3x + 5x ) × 16

960 = ½ × 8x × 16 ( after cancellations )

960 = 8x × 8

960 / 8 = 8x

120 = 8x

120 / 8 = x

Therefore , x = 15

Therefore ,length of Sides

3x = 3 × 15 = 45

5x = 5 × 15 = 75

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