Question

area area of a Trapezium is 300

metre square the paramedical distance between the two parallel sides is 15 if we if the difference of The parallel side is 16 find the length of the parallel side

Answer 1

Area = ar = 300 m²
h = 15 m
b - a = 16 m, b = a + 16 m
ar = h(a + b)/2
a + (a + 16 m) = (300 m² × 2)/(15 m)
a + 8 m = 20 m
a = 12 m.
b = a + 16 m
b = 28 m.

Answer 2

let one parallel side be x m

then other parallel side = x +16 m

distance b/w two parallel side = 15 cm

area of trapezium = 1/2 (sum of parallel side) × distance b/w two side

300 = 1/2 (x+16+x) ×15

20 = 1/2 (2x +16)

20 ×2 = 2x + 16

40 -16 = 2x

24 /2 = x

x= 12

one parallel side is 12 m and other parallel side is 28m

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