The area of a rectangular plot is 528 m2. The length of the plot (in meters) is one more than twice its breadth. Calculate the dimensions of the plot.

Question

Length (First dimension) = 

Breadth (Secon dimension) = 

Answer 1

528 = x(2x+1) = 2x^2+ x

2x^2+ x -528 = 0

factor or use the quadratic formula

(2x+33)(x-16) =0

x -16=0, x =16m

or

x= -1/4 + (1/4)sqr(1+8(528))

= (-1+65)/4 = 64/4= 16

2x+1 = 2(16)+1= 33

the rectangle is 16 by 33 meters