Question : The area of a trapezium-shaped field is 1785 square feet. The distance between the two parallel sides is 35 feet and one of the parallel sides is 42 feet long. What is the length of the other parallel side?
Option 1: 60 feet
Option 2: 35 feet
Option 3: 40 feet
Option 4: 65 feet
Correct Answer: 60 feet
Solution :
Given: Area = 1785 square feet
Height = 35 feet
One of the parallel sides = 42 feet
Let the other side be $x$.
Area of trapezium = $\frac{1}{2}\times$ Sum of parallel sides $\times$ Height
⇒ $1785 = \frac{1}{2}\times(42+x)\times35$
⇒ $102 =42+x$
$\therefore x=60$ feet
Hence, the correct answer is 60 feet.
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