If the diagonal of a rectangle is 17cm long and perimeter is 46 cm the area of

Question

If the diagonal of a rectangle is 17cm long and perimeter is 46 cm the area of the rectangle is

Options:

A . 100cm2

B . 110cm2

C . 120cm2

D . 150cm2

Answer: Option C

2(l+b) =46 => (l+b) =23
=>
=> (l² + b²) = 289
=> (l² + b²) = (l+b) ² -2lb
=> 289 =(23) ² “ 2lb
=>2lb =(23)² -289 =(529 - 289)= 240
=> lb =120
area =120Sq.cm

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