Answer:
Luke drew the greater garden plan
The area of the greatest garden = 225 feet²
Step-by-step explanation:
* The gardens are in the shape of rectangle and square
- The Nancy's garden is in a shape of a rectangle because it has
two different dimensions, 18 feet and 12 feet
- The Luke's garden is in a shape of a square because it has
two same dimensions, 15 feet and 15 feet
- The area of the rectangle = L × W
- The area of the square = L × L = L²
∵ In Nancy garden, L = 18 feet and W = 12 feet
∴ The area = 18 × 12 = 216 feet²
∵ In Luke garden, L = 15 feet
∴ The area = 15² = 225 feet²
∵ 225 > 216
* The area of Luke garden is greater than the area of Nancy garden
* Luke drew the greater garden plan
* The area of the greatest garden = 225 feet²
