Find the surface area of the prism.
1 answer:
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We have been given an expression . We are asked to find the value of A when rewrite our given expression as
.
To solve our given problem, we will use exponent properties.
Using exponent property , we can rewrite our given expression as:
Now, we will compare our expression with .
Upon comparing with
, we can see that
.
Therefore, the value of A is .
We can further simplify as:
Answer: (1) Leslie will need 2,380,525 square tiles (1 foot by 1 foot each)
(2) She will have to spend $1,785,393.75 to cover her patio.
Step-by-step explanation: Please refer to the picture attached.
The rectangular patio has been designed and as shown in the diagram has on side measuring 2135 ft and the other side measuring 1115 ft. This means, in order to cover the entire patio, she would have to cover an entire area defined as 2,135 feet into 1,115 feet. If one tile measures 1 foot long by 1 foot wide, the total number of tiles to cover the patio can simply be derived as;
Area = L x W
Where the length is 2135 and the width is 1115,
Area = 2135 x 1115
Area = 2380525
**Having in mind that one tile measures 1 ft by 1 ft, the area of each tile is given as
Area = L x W
Area = 1 x 1
Area = 1 square foot**
(1) The above calculation shows that Leslie would be using up a total of 2,380,525 square tiles to completely cover her patio.
(2) Having been told that each square foot of tile costs 75 cents ($0.75), the total amount spent to cover her patio would be calculated as follows;
Cost = Area x cost per tile
Cost = 2380525 x 0.75
Cost = 1785393.75
The total cost therefore is $1,785,393.75
