Let x be the number of rows and y be the number of trees per row.
x* y = 112 and y = 2x - 2 from first equation y = 112/x so 112/x = 2x - 2 112 = 2x^2 - 2x 2x^2 - 2x - 112 = 0 x^2 - x - 56 = 0 (x - 8)(x + 7) = 0 x = 8 , - 7 (ignore the negative) so the number of rows = 8 and number of trees per row = 112/8 = 14
Answer number of rows = 8 and number trees i each row = 14.
The diagonals of a rectangle are always congruent. We have the whole length of OQ to be 2x + 6, and we have only half of NP. Therefore, OQ = 2(PR). 2x+6=2(3x-5). 2x+6 = 6x-10. 16 = 4x so x = 4. That means that each diagonal is 14 units long.