Question

if
$x \: = \frac{1}{2} ( \sqrt{ \frac{a}{b} } - \sqrt{ \frac{b}{a} } )$
then show that,
$\frac{2a \sqrt{1 + {x}^{2} } }{x + \sqrt{1 + {x}^{2} } } = a + b$

​

Answer 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.