Question

the perimeter of a rectangle is 50 m and area id 300 sq m .Diagonal of rectangle is equal to the diagonal of square then area of square​

Answer 1

Step-by-step explanation:

let LENGTH of rectangle = x.

let the breadth of rectangle = y

$2(x + y) = 50 \: metres..$

$x + y = 25............(1).$

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$x \times y = 300 \: metre {}^{2} .......(2).$

$x = \frac{300}{y}$

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NOW PUTTING THE VALUE OF X IN EQUATION (1)..

$\frac{300}{y} + \frac{y}{1} = 25.$

$\frac{300 + y {}^{2} }{y} = 25$

$y {}^{2} - 25y + 300 = 0$

$y = 5 \: and \: - 6..$

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