Math CentralQuandaries & Queries


Question from Chie:

A rectangular piece of property has an area of 987m² and a perimeter of 136m. Find its LENGTH and WIDTH.


Suppose the length is $L$ meters and the width is $W$ meters. Since the area is $987 m^2$ you know that

\[L \times W = 987.\]

Since the perimeter is 136 m you know that the distance all the way around is 136 m and hence the distance half the way around is 68 m.


This gives a second equation

\[L + W = 68.\]

Solve the two equations for $L$ and $W.$


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