Question

the area of a trapezium is 50cm² if the ratio of parallel sides is 2:3 and the difference between the parallel side is 10cm find the length of two parallel sides​

Answer 1

late

Step-by-step explanation:

let the two parallel side between 2x and 3x respectively.

area of trapezium 50 cm

height 10cm

Answer 2

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the area of a trapezium is 50 cm square if the ratio of parallel sides is 2 is to 3 and the difference between the parallel side is 10 cm find the length of two parallel side.

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>> the parallel side of trapezium is

• (a) = 4cm
• (b) = 6cm

★★let's find out !!

✰given:-

• area of trapezium = 50cm²
• parallel side 1st = (a) = 2x
• parallel side 2nd = (b) = 3x
• height = 10cm

★★using formula :

★★area of trapezium = ½ (a+b) ×h

★★so,

$= > {50}cm^{2} = \frac{1}{2} \times (2x + 3x) \times 10$

$= > \: {50} \: = \frac{1}{2} (5x) \times 10$

$= > 50 = \: (5x) \times5$

$= > \frac{50}{5} = 5x$

$= > \: 10 = 5x$

$= > x = \frac{10}{5}$

$= > \: x = 2$

✰✰★now,

★★side (a) = 2×2 = 4cm

★★side (b) = 3×2 = 6cm

༆★★hence the two parallel side is trapezium is 4cm and 6cm.★★