Question

The area of a trapezium is 385 cm2 . Its parallel sides are in the ratio 3 : 4 and the perpendicular distance between them is 11 cm. Find its longer side.​

Answer 1

Step-by-step explanation:

area= 385cm^2

ratio of parallel sides= 3:4

h=11cm

let ratios be x

so 3x and 4x

area of trapezium= 1/2×sum of parallel sides×h

385= 1/2×(3x+4x)×11

385= 1/2×7x×11

385×2=77x

770= 77x

770/77=x

10= x

3×10=30cm

4×10=40cm

longer side= 40cm