MTS 21 21-07-2022 Shift 1


Question 1

The height of a trapezium is 68 cm, and the sum of its parallel sides is 75 cm. If the area of the trapezium is 6/17  times of
the area of a square, then the length of the diagonal of the square is: (Take v2 = 1.41)

एक समलंब चतुर्भुज की ऊंचाई 68 cm और इसकी समानांतर भुजाओं की लंबाइयों का योग 75 cm है। यदि समलंब
चतुर्भुज का क्षेत्रफल एक वर्ग के क्षेत्रफल का 6/17  गुना है, तो वर्ग के विकर्ण की लंबाई ज्ञात कीजिए। 


Options

A

B

C

D


Solution:

Correct Answer:

B


Area of trapezium = 1/2*hight of Trapezium*( sum of its parallel sides)

=12*68*75=2550

let the side of square = A 

Area of Square= A2

According to Question

617*A2=2550

A = 85

Diagonal of Square = 2 A

=1.41*85

=119.85

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