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### The lengths of the parallel side of an isosceles trapezium are 11cm and 5cm. The...

The lengths of the parallel side of an isosceles trapezium are 11cm and 5cm. The area of the trapezium is 32cmsquare.calculate the length of one of the remaining sides?

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Vek Tor
2 days ago
Area of trapezium=1/2(a+b)h

Area of trapezium=32cm^2
Let the given sides be a(11cm) and b(5cm)
Let the unknown length be h

Solution:
Area of trapezium=1/2(a+b)h
32=1/2(11+5)h
32=1/2*16*h
32=16h/2
cross multiply
2*32=16h
64=16h
16h=64
make "h" the subject of the formula
h=64/16
h=4cm

Hence, the length of the remaining side is 4cm
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