Question

In the given figure, quadrilateral ABCD is drawn to circumscribe a circle. If AB+CD =15 cm, then find the perimeter of the quadrilateral.

• A. 30 cm
• B. 15 cm
• C. 20 cm
• D. 35 cm

Answer 1

The correct option is A 30 cm

[By theorm- If a quadrilateral ABCD is drawn to circumscribe a
circle then, AB + CD = AD + BC]
AB + CD = 15 (given)
so, AD + BC = AB + CD = 15 cm

$\therefore$ Perimeter of quadrilateral ABCD
= AB+BC+CD+AD
= (AB+CD)+(AD+BC)
= 15 + 15
= 30 cm