Question

A rectangular park has a perimeter of 340 feet and a diagonal measurement of 130 feet.What is its area, in square feet?

Answer 1

Answer:

6000 sq.feet

Step-by-step explanation:

let l be x and b be y

2x + 2y = 340

x  + y = 170

$x^{2}$+ $y^{2}$=$130^2$

$x^{2}$ + 2xy +  $y^{2}$ = $170^{2}$

2xy = $(x+y)^2$ - ($x^2$ + $y^2$)

     = $170^2$ - $130^2$

 2xy    = 12000 sq.feet

   xy    = 6000 sq.feet

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