The width of a rectangle is 2 m less than half of the length x. The area is 240 m squared.

Question

 The width of a rectangle is 2 m less than half of the length x. The area is 240 m squared.

Answer 1

Length = x   m.

Width= (x/2) -2  m

 

Area of a rectangle= length* width

 

240 = x *(x/2-2) 

240 =x² /2 -2x

 

multiply eq by 2,

480 =x² -4x

x² -4x -480=0

x² -24x+20x-480=0

x(x-24)+20(x-24)=0

(x-24)(x+20)=0

x-24 =0   or x+20=0

x=24      or x=-20 which is not possible.

width =24/2 -2 

         =12-2

         = 10 m

Length= 24 m, width=10m