Question

3. SCAN is a trapezium such that (NA) =5(SC). The perpendicular distance between SC
and NA is 6 cm. If the area of the trapezium is 144 cm square, find the value of SC.


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Answer 1

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Answer 2

If you draw a figure, you can decipher that NA and SC are parallel sides of the trapezium.

Area of trapezium= 1/2* sum of parallel side* perpendicular distance

144= 1/2* (NA+SC)* 6

     *Note: We're given NA= 5SC*

144= 1/2 * (5SC+SC)*6

144= 1/2* 6SC*6

144= 18*SC

SC= 144/18

SC= 8cm