Question

area of trapezium is 660 cm square and one parallel side of the trapezium is greater than other by 20 cm is it's height being 10 cm find the length of parallel sides of trapezium

Answer 1

Answer:

56cm , 76 cm

Step-by-step explanation:

let the 1st || side be x

then, 2nd || side will be x + 20

given, area of ||gram = 660cm²

As we know,

Area of ||gram = ½ × sum of || side × h

660cm² = ½ × x + x+20cm × 10cm

660cm² ×2 /10 = 2x +20cm

132cm² = 2x +20cm

132cm² -20 = 2x

112cm = 2x

112cm / 2 = x

56cm = x

∴ x = 56cm

then, 1st side = x

= 56cm

2nd side= x +20

= 56cm +20

= 76cm