Length=l
width=w
l=w+8
The formula for the area of a rectangles is A=lw:
A=lw
0.5 m²=(w+8)(w)
Distribute
0.5 m²=w²+8w
Do completing the square
0.5 m²+16=w²+8w+16
16.5 m²=(w+4)²
Square root both sides
4.06 m=w+4
Subtract both sides by 4
w=0.6 m
The width is 0.6 m
Length=w+8
Length=0.6+8
Length=8.6 m
