1.

The area of trapezium is 156sqcm, if one of its parallel side is 9m distance between them is 12m find the length of parallel side

Answer»

Correct Question:

The area of trapezium is 156 cm², if ONE of its parallel side is 9 cm distance between them is 12 cm find the LENGTH of the other parallel side

Let the 2 parallel SIDES of trapezium be a and b respectively

Given:

  • Area of Trapezium = 156 cm²
  • One of its parallel sides = a = 9 cm
  • Distance between them = h = 12 cm

To find:

  • Length of another parallel side = b = ?

Method:

\bf{Area \: of \: a \: Trapezium = \dfrac{1}{2}(a + b)h }\\\\ \\\implies \sf{Area = \dfrac{1}{2} \times (9+b) \times 12}\\\\\\\implies \sf{Area = 6(9 + b) }\\\\\\\implies \sf{156 = 6(9 + b)}\\\\\\\implies \sf{\dfrac{156}{6}=(9 + b)}\\\\\\\implies \sf{26 = 9 +b}\\\\\\\implies \sf{b = 26 - 9}\\\\\\\implies \boxed{\sf{b = 17 \: cm }}

∴ Length of other parallel side = 17 cm


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