Question

The perimeter of the figure given below is 30 cm. Find the length of the third side.

• A. 13 cm
• B. 15 cm
• C. 17 cm
• D. 19 cm

Answer 1

The correct option is A 13 cm

Given :
Perimeter of the given figure = 30 cm

Perimeter of a figure
= Sum of lengths of its sides
= AB + BC + AC
$\Rightarrow$ 30 cm = 12 cm + 5 cm + AC
$\Rightarrow$ 30 cm = 17 cm + AC
$\Rightarrow$ AC = 30 cm - 17 cm
$\Rightarrow$ AC = 13 cm
Therefore, the third side is 13 cm long.