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Hi Ash, I would first draw a diagram The dimensions of a rectangle are its length and its width. I used $L$ to designate the length and $W$ to designate its width. The area of a rectangle is its length times its width so \[L \times W = 30 \mbox{ square feet}\] and its perimeter is the distance all the way around so \[L + W + L + W = 26 \mbox{ feet.}\] Hence the distance half way around is \[L + W = 13 \mbox{ feet.}\] Thus you have two equations \[L \times W = 30 \] and \[L + W + 13.\] Do you know two numbers with a sum of 13 and a product of 30? Harley |
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