Alphonse wants to put a border around his bedroom that measures 5 feet by 10 feet He has 6 feet of border already, and needs to purchase more to complete the border around her room. The store sells border in lengths of 3 feet. How many lengths of border does he need to buy to finish the room?

Explanation:

L = length = 10 ft

W = width = 5 ft

P = perimeter

P = 2*(L+W)

P = 2*(10+5)

P = 30

The perimeter of his bedroom is 30 feet. He already has 6 feet done so far, so he needs 30-6 = 24 more additional feet of border.

Let x = number of batches, where 1 batch is 3 feet of border material

1 batch = 3 feet

2 batches = 6 feet (multiply both sides by 2)

and so on

In general,

x batches = 3x feet

3x feet = 24 feet

3x = 24

x = 24/3

x = 8

He needs to buy 8 batches of border material.

maximum area = xy = (16)(32) = 512 ft2

to maximize the area of the garden, the side of the fence parallel to the side of the house should be 32 ft long, and the other two sides should both have length 16 ft.'

source

215.92 dollars is the answer