Question

Karl's rectangular vegetable garden is $20$ feet by $45$ feet, and Makenna's is $25$ feet by $40$ feet. Whose garden is larger in area?

Karl’s garden is larger by $100$ square feet.

Karl’s garden is larger by $25$ square feet.

The gardens are the same size.

Makenna’s garden is larger by $25$ square feet.

Makenna’s garden is larger by $100$ square feet.

Solution:

The area of Karl's garden is $20 \text{ft} \cdot 45 \text{ft} = 900 \text{ft}^2.$ The area of Makenna's garden is $25 \text{ft} \cdot 40 \text{ft} = 1000 \text{ft}^2.$

The difference of these areas is $1000 \text{ft}^2 - 900 \text{ft}^2 = 100 \text{ft}^2.$ Therefore, Makenna's garden is $100 \text{ft}^2$ larger than Karl's.

Thus, E is the correct answer.

2011 AMC 8 Problem 2

Solution:

Problem 2 in Other Years