Question 1202194
The area of a rectangle is 45m^2, and the length of the rectangle is 1m more than twice the width. Find the dimensions of the rectangle.

Let width be x m

length will be as per the info given 2x+1

Area of rectangle = L * width

x(2x+1) =45

2x^2 +x =45

2x^2+x -45=0

2x^2+10x-9x -45=0

2x(x+5)-9(x+5)=0

(x+5)(2x-9)=0

x=-5  or x= 4.5 

x cannot be negative
So x=4.5

Width = 4.5 m

Length = 2x+1 = 2(4.5)+1= 10


10*4.5 =45