Question

In a trapezium-shaped field,one of the parallel sides is twice the other. if the area of the field is 9450 m^2 and the perpendicular distance the two parallel sides is 84m, find the length of the longer of the parallel sides.​

Answer 1

Answer:

the length of the longer of the parallel sides is 1362.8 m I'm sure.

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Answer 2

Given :-

• Area of trapezium = 9450 m²

• Distance between parallel sides = 84 m

To find :-

• The length of the longer of the parallel sides

Solution :-

Let the length of the parallel side be x and 2x

By using the formula of area of trapezium we know that,

Area of trapezium = ½ × (sum of parallel side) × (Distance between parallel sides)

⤇ 9450 = ½ × (x + 2x) × 84

⤇ 9450 = ½ × 3x × 84

⤇ 9450 = 3x × 42

⤇ $\rm\cancel\dfrac{9450}{42}=3x$

⤇ 225 = 3x

⤇ $\rm\cancel\dfrac{225}{3}=x$

⤇ 75 = x

⤇ x = 75 m

Length of one side (x) = 75 m

Length of second side = 2x

Length of second side = 2 × 75

Length of second side = 150 m

Hence,the length of the longer of the parallel side will be 150 m.