Mr. and Mrs. Harper are planning to install a deck and a garden. Help them determine which of the two choices below is most efficient.
Plan A: Deck measures 18 feet by 25 feet Garden measures 9 feet by 12 feet.
Plan B: Deck Measures 16 feet by 20 feet. Garden measures a radius of 5 feet
what do you mean by efficient?
Find the area
this makes no
this is hard
To determine which plan is more efficient, we need to compare the areas of the deck and garden in each plan.
For Plan A:
- The deck area is calculated by multiplying the length by the width: 18 feet x 25 feet = 450 square feet.
- The garden area is calculated by multiplying the length by the width: 9 feet x 12 feet = 108 square feet.
- The total area for Plan A is the sum of the deck and garden areas: 450 square feet + 108 square feet = 558 square feet.
For Plan B:
- The deck area is calculated by multiplying the length by the width: 16 feet x 20 feet = 320 square feet.
- The garden area is calculated using the formula for the area of a circle (πr^2). The radius is given as 5 feet, so the area is π x 5^2 = 25π (approximately 78.54) square feet.
- The total area for Plan B is the sum of the deck and garden areas: 320 square feet + 78.54 square feet = 398.54 square feet.
Comparing the two plans, we find that Plan A has a total area of 558 square feet, while Plan B has a total area of 398.54 square feet. Therefore, Plan A is more efficient in terms of utilizing space.
Keep in mind that efficiency is just one factor to consider when making a decision. Other factors like cost, maintenance, and personal preferences should also be taken into account.