Question

ABCD is a quadrilateral , AB = BC , AD = half of CD , AD = one fourth of AB. If BC = 12 cm , then the perimeter of the quadrilateral ABCD is ______cm

Answer 1

Answer:

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Answer 2

Step-by-step explanation:

AB,BC and CD,DA represent two pairs of equal adjacent sides. We know that in a kite, the four sides can be grouped into two pairs of equal length sides that are adjacent.

AB,BC and CD,DA represent two pairs of equal adjacent sides. We know that in a kite, the four sides can be grouped into two pairs of equal length sides that are adjacent.Hence, the given quadrilateral is a kite.

AB = BC

BC = 12 cm

SO, AB = 12 cm

AD = one fourth of AB

SO, AD = 1/4 × 12 = 3 cm

AD = half of CD

SO, CD = 3 × 2 = 6 cm

AB = 12cm, BC = 12cm, CD = 6cm, AD = 3cm

PERIMETER OF THE QUADRILATERAL

= ( 12 + 12 + 6 + 3 )cm = 33cm

QUADRILATERAL ABCD = 33 cm