Question

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Answer 1

Answer:

Step-by-step explanation:

L=2B

perimeter of rectangle = 2(L+B)

= 2(L+L/2)

=3L

PERIMETER OF RECTANGLE = CIRCUMFERENCE OF CIRCLE

3L= 2πR

R=3L/2π

AREA OF CIRCLE - AREA OF RECTANGLE= 104.5

πR²- L*B=104.5

π(3L/2π)² - L*L/2 = 104.5

9L²/2π- L²/2 = 104.5

L = 21.97 CM

Answer 2

Answer:

66 cm

Step-by-step explanation:

Let the breadth of the wire be x.

Then the length of the wire = 2x.

Area of rectangle = l * b = 2x².

Perimeter of rectangle = 2(l + b) = 6x

∴ Given that wire is bent in the form of a circle.

⇒ Circumference = Perimeter = 6x.

⇒ Radius = 2πr

⇒ 2πr = 6x

⇒ r = (3x/π)

∴ Area of circle = πr²

                         = π(3x/π)²

                         = 9x²/π

Given that area of circle is greater than area of rectangle by 104.5 cm².

⇒ (9x²/π) = 104.5 + 2x²

⇒ (9x²/π) - 2x² = 104.5

⇒ 19x²  = 2299

⇒ x² = 121

⇒ x = 11 cm

∴ Length of the wire = 6x = 66 cm.

Hope it helps!