Question

During maths lab activity, teacher gives four sticks of lengths 6 cm, 6 cm, 4 cm and 4 cm to each student to make different types of quadrilateral.

She asks following questions from the students:

Q. A student formed a rectangle with these sticks. What is the length of the diagonal of the rectangle formed by the student?

• A. $6\sqrt{13}$
• B. $2\sqrt{13}$
• C. $6\sqrt{13}$
• D. $\sqrt{13}$

Answer 1

The correct option is B $2\sqrt{13}$

Solution: All the angles of a rectangle are right angle. So, diagonal of a rectangle divides it into two right angled triangles. Thus,

6² + 4² = l²

36 + 16 = l²

l² = 52

$l=2\sqrt{13}$