Question

the difference of the parallel sides of a trapezoid field is 20m.Its area is 450 m2 and it's altitude is 15 m. Find the length of the parallel sides
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Answer 1

Let one parallel side be x, then the other will be x + 20

Area = 1/2 * Altitude * sum of parallel sides

450 = 1/2 * 15 * (x+x+20)

450 = 15/2 * (2x + 20)

450 = (15/2)*2(x+10)

x + 10 = 450/15 = 30

x = 30 - 10 = 20

x + 20 = 20 + 20 = 40

So the parallel sides are 20 m and 40 m

Answer 2

Answer:

20cm and 40cm

Step-by-step explanation:

Let one of the parallel sides be x and the other be x +20

Now,

Area of a trapezium=1/2(x+x+20)×15

=1/2×(2x+20)×15

=1/2×2(x+10)×15

A/q

(x+10)×15=450

or x+10 = 450/15 = 30

or x = 30-10

=20

therefore x=20cm

x+20= 20+20 =40cm