The length of a rectangle is 1 more than twice its width, and the area of the rectangle is 66 yd^2, how do you find the dimensions of the rectangle?

1 Answer
May 3, 2018

Answer:

Dimensions of the rectangle are # 12# yards long and #5.5# yards wide.

Explanation:

Let the width of the rectangle is #w= x# yd , , then the

length of the rectangle is #l=2 x +1# yd , therefore, the area of the

rectangle is #A=l*w= x(2 x+1) = 66# sq.yd .

#:. 2 x^2+x=66 or 2 x^2+x-66=0# or

#2 x^2+12 x -11 x-66=0 # or

#2 x(x+6) -11( x +6)=0 or (x+6)(2 x-11)=0 :.# either,

#x+6=0:. x =-6 or 2 x-11= 0 :. x= 5.5 ; x # cannot be

negative. # :. x= 5.5 ;2 x+1= 2*5.5+1=12# . Dimensions

of the rectangle are # 12# yards long and #5.5# yards wide.[Ans]