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? 

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SSC CPO 2022 Tier-I Official Paper (Held On 11 Nov 2022 Shift 3) [Answer Key]
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  1. 60  feet
  2. 35  feet
  3. 40  feet
  4. 65  feet

Answer (Detailed Solution Below)

Option 1 : 60  feet
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SSC CPO : General Intelligence & Reasoning Sectional Test 1
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Detailed Solution

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Given:

Area = 1785 sq feet

Distance between the two parallel sides (height) = 35 feet

Length of one of the parallel sides = 42 feet

Formula used:

Area (Trapezium) =  x height x (side1 + side2)

Calculation:

Let's put the values in the formula,

1785 =  \(\frac{1}{2}\) x 35 x (42 + s)

102 = 42 + s

s = 102 - 42

s = 60

The other side of the trapezium is 60 feet in length.

Hence, the correct answer is option 1).

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