Question

Rectangle ABCD is formed in a circle as shown in figure. If AE = 8 cm and AD = 5 cm, find the perimeter of the rectangle.​

Answer 1

Answer:

perimeter of rectangle =2(l+b)

2(8cm+5cm)

2×13cm

26cm

Answer 2

Answer:

Step 1 - Draw a line joining D and B ( because we have to find AB )

Now in triangle ABD

DB = 13 ( 8+5 ) radii

AB = 5 ( given )

So by Pythagoras

13 * 13 = 5*5 + AB *AB

169 = 25 + AB*AB

AB*AB = 169-25

= 144

SO ,

AB = √144

AB = 12

NOW IN RECTANGLE ABCD

AD = BF = 5

AB = 12

SO PERIMETER OF RECTANGLE

2(L+B)

2(12+ 5)

2 ( 17)

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