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A rectangular metal manhole with an area of 0.5 m2 is situated along a cemented pathway.
The length of the pathway is 8m longer than its width


Sagot :

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