Using Geometry to Solve Design Problems Practice Test

A garden path is a rectangle $12\text{ ft}$ long and $8\text{ ft}$ wide. A rectangular flower bed must be placed inside it so that there is a uniform border of $1\text{ ft}$ of path on all sides. The flower bed’s side lengths must be whole numbers of feet.

Which design satisfies all constraints?

A rectangular poster is to be centered on a wall section that is $14\text{ ft}$ wide and $10\text{ ft}$ tall. A border of at least $2\text{ ft}$ must remain between the poster and each edge of the wall section. The poster must have perimeter at least $28\text{ ft}$.

Which design satisfies all constraints?