Question

The lengths of three sides of a quadrilateral are 10.6 cm, 12.7 cm, and 9.2 cm. If the perimeter of the quadrilateral is 46.9 cm, then what is the length of the fourth side?

Solution:

We know that,

Perimeter of the quadrilateral = Sum of four sides of quadrilateral

⇒ Perimeter of the quadrilateral = Sum of three sides of quadrilateral + Fourth side

⇒ 46.9 cm = (10.6 cm + 12.7 cm + 9.2 cm) + Fourth side

⇒ 46.9 cm = 32.5 cm + Fourth side

Thus, fourth side = 46.9 cm – 32.5 cm

is the answer is correct

= 14.4 cm

Answer 1

Let ABCD be the quadrilateral.

Let AB = 10.6 cm; BC = 12.7 cm; CD = 9.2 cm; AD = ?

now, AB + BC + CD + AD = 46.9 cm

10.6 + 12.7 + 9.2 + AD = 46.9

32.5 + AD = 46.9

AD = 14.4 cm