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, times the area of a square, then the length of the diagonal of the square is: (Take, √2=1.41)
Show answer & explanation
Correct answer: C
Explanation
the correct answer is option 3 i.e 119.85
The height of a trapezium is 68 cm, and the sum of its parallel sides is 75 cm.
Area of a trapezium = 1/2 × sum of its parallel sides x height
= 1/2 × 75 × 68
= 75 × 34
= 2550
If the area of the trapezium is 6/17, times the area of a square.
area of the trapezium = 6/17 of the area of a square
2550 =6/17 × (length of the side of the square)2
425 = 1/17 × (length of the side of the square)²
(length of the side of the square)2= 7225
(length of the side of the square) 2= 852
length of the side of the square = 85 cm
Length of the diagonal of the square = √2 × (length of the side of the square)
= 1.41× 85
= 119.85 cm