10 yds Garden
5 yds
Claire decided to plant a rectangular garden in her back
yard using 30 yards of chain-link fencing that were given
to her by a friend. Claire wanted to determine the possible
dimensions of her garden, assuming that she would use all
of the fencing and make each side a whole number of
yards. She began making a drawing that would give her a
garden 5 yards by 10 yards.
House
1.
Claire looked at the drawing and decided that she wanted to consider other possibilities for
the dimensions of the garden. In order to organize her thoughts, she let x be the garden
dimension parallel to the back of her house, measured in yards, and let y be the other
dimension, perpendicular to the back of the house, measured in yards. She recorded the
first possibility for the dimensions.
a.
Complete the table below. x represents the side of the fence parallel to Claire's house, y
represents the side perpendicular to Claire's house and P represents the perimeter.