Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Mensuration: 2D

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?

Options:

60 feet

35 feet

40 feet

65 feet

Correct Answer:

60 feet

Explanation:

We know that,

Area of the Trapezium = \(\frac{1}{2}\) x height x (side1 + side2)

Area = 1785

Height= 35 feet

Length of one of the parallel sides = 42 feet

1785 =  12 x 35 x (42 + a)

102 = 42 + a

a = 102 - 42

a = 60