Math CentralQuandaries & Queries


Question from Abigail, a student:

A garden measures 12 feet by 16 feet. The family would like to add a stone walkway around the garden. This would increase the total area of to 302.25 square feet. what will be the width of the of the walkway

Hi Abigail,

I drew a diagram with the walkway $x$ feet wide, all the way around the garden.

garden with walkway

In my diagram the length of the garden plus the walkway is $L$ feet and its width is $W$ feet. Write $L$ and $W$ in terms of $x.$ $L \times W = 302.25$ square feet. Solve for $x.$


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