Answer:
(a) He would need 76 feet of fencing
(b) Kevin should buy the packaged box of 90 feet of fencing for $950.
(c) How much does he save?
For every 1 feet of packaged fencing Kevin buys, he saves $1.94 naira.
Explanation:
(a) At the outside edge of the pool is a protective fence. How many feet of fencing would be needed to surround the pool area?
From the question, we are told that the swimming pool measures:
14-1/2 feet wide and 23-1/2 feet long.
Perimeter of a fence = 2(L + W)
= 2( 14-1/2 + 23-1/2)feet
= 76 feet
This means he need 76 feet of fencing.
(b) Kevin discovers that he can buy a packaged box of 90 feet of fencing for $950 or he can buy cut-to-order fencing that costs $12.40 per foot. Which type of fencing should he buy?
If : For cut to order fencing
1 foot = $12.40
76 feet =
Cross Multiply
= 76feet × $12.40/1 foot
= $942.4
This means that the cut to order fencing would cost him $942.40
The packaged box of fencing cost $950 for 90 feet of fencing. This is cheaper than the cut to order fencing and he would have extra feet of fencing(14 feet) .
Therefore, Kevin should buy the packaged box of 90 feet of fencing for $950.
How much money does he save?
For the cut to order box
1 feet = $12.40
For the packaged fence,
90 feet = $950
1 feet = x
= 950/90
= $10.555555556
≈ $10.56
Hence, 1 feet of packaged fence = $10.56
Subtracting $10.56 from $12.40
= $12.40 - $10.56
=$ 1.94
Therefore, for every 1 feet of packaged fencing Kevin buys, he saves $1.94 naira.
This means:
1 feet (packaged fence) = $10.56
76 feet = x
= 76 × $10.56
= $802.56