Question

ABCD is a kite and it's perimeter is 60 cm. Find the value of AB + AD.

• A. 40 cm
• B. 60 cm
• C. 30 cm
• D. 50 cm

Answer 1

The correct option is C 30 cm

Given, ABCD is a kite.
AB = BC ------(i)
AD = CD -------(ii)
Perimeter of the kite is 60 cm.
$\Rightarrow$ AB + BC + CD + DA = 60.
From (i) and (ii),
$\Rightarrow$ AB + AB + AD +AD = 60
$\Rightarrow$ 2 AB + 2 AD = 60.
$\Rightarrow$ 2 (AB +AD) = 60
$\Rightarrow$ AB + AD = $\frac{60}{2}$ = 30.

$\therefore$ The value of AB + AD = 30 cm.