a trapezium with its parallel sides in the ratio16:5,is cut from a rectangle whose sides measure 63m &5m respectively. the area of the trapezium is 4/15 of the rectangle .find the lengths of the parallel sides of the trapezium.

Answer 1

area of rectangle is 63x5 or 315 cm^2

Let the two parallel sides by 16x and 5x.

area of trap = (average of 2 parallel sides)(height)

= ((16x + 5x)/2)(5) = (4/15)(315)

105x/2 = 84
105x = 168
x = 8/5 = 1.6
The two sides are 25.6 and 8

check:
area = (25.6+8)/2(5) = 84
and (4/15)(315) = 84