Question 177948
Let W=width and L=length


Since the "length is 5 meters more than the width", this tells us that {{{L=W+5}}} (ie add 5 to the width to get the length)


{{{P=2L+2W}}} Start with the perimeter formula



{{{70=2(W+5)+2W}}} Plug in {{{P=70}}} (the given perimeter) and {{{L=W+5}}}



{{{70=2W+10+2W}}} Distribute



{{{70-10=2W+2W}}} Subtract 10 from both sides



{{{60=4W}}} Combine like terms.



{{{60/4=W}}} Divide both sides by 4 to isolate "W"



{{{15=W}}} Reduce



So the width is 15 meters



{{{L=W+5}}} Go back to the length equation



{{{L=15+5}}} Plug in {{{W=15}}}



{{{L=20}}} Add



So the length is 20 meters.



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Answer:


So the length is 20 meters and the width is 15 meters