Question

The expression 5 $\frac{1}{2}$x+6 represents the perimeter of the rectangle shown.Write an expression that represents the length of the rectangle.
/_/ $\frac{1}{4}$x+2

Answer 1

perimeter=2(length+bredth)
[tex] \frac{1}{2} x+6= \frac{x}{2} +6 \\ \frac{ x+12}{2} =2*(length+bredth) \\ x+12=length+bredth \\ \\ length = \frac{1}{4} x+2 \\ \\ \frac{x}{4}+2= \frac{ x+8 }{4} \\ \\ \frac{x+8 }{4} +bredth=x+12 \\ 4x+48=x+8+bredth \\ 3x+40=bredth [/tex]