Question

Chris wants to create a rectangular rose garden in his yard. He has 40 meters of garden fencing to go around the garden and he has to use it all. Pick two different ways in which he could construct the garden.

Answer 1

Dimension 1 = 12 x 8

Dimension 2 = 14 x 6

Chris should choose Dimension 1

Explanation:

Perimeter of a rectangle = 2 × width + 2 × length

= 2(width + length)

Given:

• perimeter = 40m

⇒ 40 = 2(width + length)

⇒ width + length = 20 m

Therefore, possible dimensions:

• Dimension 1 = 12 x 8 (as 12 + 8 = 20)
• Dimension 2 = 14 x 6 (as 14 + 6 = 20)

We need to calculate the area of both choices. The choice with the greatest area will allow the most vegetables to be planted.

• Area of Dimension 1 = 12 x 8 = 96 m²

• Area of Dimension 2 = 14 x 6 = 84 m²

Therefore, Chris should choose Dimension 1 (12 x 8).