Question

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

Answer 1

Answer:

Plan A

Step-by-step explanation:

To find the better plan, you must find which plan has a bigger area.

First, we're going to find Plan A using the area formula (A = L * W)

A = L * W

A = 18 * 25

A = 450

Now we must find the area of the garden.

A = 9 * 12

A = 108

Add both areas together to get the area of Plan A.

450 + 108 = 558. Plan A has an area of 558 feet.

Second, Now we're going to find Plan B's area using the circle formula and area formula.

To find the area of the deck, use the formula.

A = L * W

A = 16 * 20

A = 320  

Now we will find the area of the garden.

Since the garden is a circle and we are given the radius, we will use the formula A = πr²

A = 3.14 * 5²

A = 3.14 * 25

A = 78.5

Now add both areas together.

78.5 + 320 = 398.5. Plan B has an area of 398.5 feet.

558 > 398.5, so Plan A is more efficient, judging solely on size.