if
[tex]x \: = \frac{1}{2} ( \sqrt{ \frac{a}{b} } – \sqrt{ \frac{b}{a} } )[/tex]
then show that,
[tex] \frac{2a

By Ayla

if
[tex]x \: = \frac{1}{2} ( \sqrt{ \frac{a}{b} } – \sqrt{ \frac{b}{a} } )[/tex]
then show that,
[tex] \frac{2a \sqrt{1 + {x}^{2} } }{x + \sqrt{1 + {x}^{2} } } = a + b[/tex]

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Ayla

1 thought on “if<br />[tex]x \: = \frac{1}{2} ( \sqrt{ \frac{a}{b} } – \sqrt{ \frac{b}{a} } )[/tex]<br />then show that,<br />[tex] \frac{2a”

  1. Answer:

    Answer:

    breadth = 10 m

    Perimeter = 100 metres

    Explanation:

    Let the breadth be b metre

    Area of rectangle = 400 m²

    Length of rectangle ,l = 40 m

    Now, we know that area of rectangle is the product of length and breadth . So,

    • Area of rectangle = length × breadth

    → 400 = 40 × b

    → 400/40 = b

    → 10 = b

    → b = 10 m

    Hence, the breadth of the rectangle is 10 metres

    Now, calculating the perimeter of the rectangle

    • Perimeter of rectangle = 2 (length+breadth)

    → Perimeter of rectangle = 2 (40+10)

    → Perimeter of rectangle = 2×50

    → Perimeter of rectangle = 100 m

    Hence, the perimeter of the rectangle is 100 metres.

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