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.
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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
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