Question

The area of a trapezium shaped field is 448 m2. If the distance between two parallel sides is 14 m and one of the parallel side is 44 m, then the other parallel sides is

Answer 1

Step-by-step explanation:

$area \: of \: trapezium \: = \\ = \frac{1}{2} \times (s1 + s2) \times dist. \\ 448 = \frac{1}{2} \times (44 + x) \times 14 \\ 448 =(44 + x) \times 7 \\ 448 = 7(44 + x) \\ 448 = 308 + 7x \\ 448 - 308 = 7x \\ 140 = 7x \\ x = \frac{140}{7} \\ x = 20 \\ \\ s2 = 20m \\ \\ verification \: = \\ \frac{1}{2} \times (20 + 44) \times 14 \\ = \frac{1}{2} \times 64 \times 14 \\ = 448$

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