The area of a trapezium shaped field is 480 m2 , the distance between two parallel sides is 15 m and one of the parallel side is 20 m. Find the other parallel side.
Question
The area of a trapezium shaped field is 480 m2 , the distance between two parallel sides is 15 m and one of the parallel side is 20 m. Find the other parallel side.
Solution
Sure, here is the solution:
The formula for the area of a trapezium is given by:
Area = 1/2 * (sum of parallel sides) * (distance between them)
We know the area, one of the parallel sides and the distance between the parallel sides. We can substitute these values into the formula and solve for the other parallel side.
480 = 1/2 * (20 + x) * 15
Solving the equation:
480 = 1/2 * 15 * 20 + 1/2 * 15 * x 480 = 150 + 7.5x 330 = 7.5x x = 330 / 7.5 x = 44
So, the other parallel side of the trapezium is 44 m.
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