SOLUTION: A rectangular lawn of length (x+5)m is (x-2)m wide if the diagonal is (x+6),find 1. The value of x 2. The area of the rectangle 3. Perimeter of rectangle

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Question 390533: A rectangular lawn of length (x+5)m is (x-2)m wide if the diagonal is (x+6),find 1. The value of x 2. The area of the rectangle 3. Perimeter of rectangle
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi,        

 (x+5)^2 + (x-2)^2 = (x+6)^2

x^2 + 10x + 25 + x^2 - 4x + 4 = x^2 + 12x + 36

  x^2 -6x -7 = 0

factoring

(x+1)(x-7)=0

(x+1)=0

   x = -1  Tossing out negative solution

(x-7)=0

   x = 7m   (length = 12m and width = 5m)

Area is: 12m*5m = 60m^2

Perimeter is: 2*12m + 2*5m = 34m