Respuesta :
Answer:
156
Step-by-step explanation:
160% of 10 is 16 , now we do 16x16 = 256
Now we do 10x10 to find the old square feet which is 100
256-100=156
The amount in square feet the area of the new pen is larger than the area of the current pen is given by: Option B: 156 ft²
For calculating the area of new pen, we need to know how to calculate percentage.
How to find the percentage from the total value?
Suppose the value of which a thing is expressed in percentage is "a'
Suppose the percent that considered thing is of "a" is b%
Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).
Thus, that thing in number is
[tex]\dfrac{a}{100} \times b[/tex]
For the considered situation, we have:
- Side lengths of current pen of the farmer = 10 feet on each side
- Side length of the new pen = 160% of its current measure.
We can use formula for area of square as pen are usually rectangle shaped and as its sides are of equal measure, so its a square.
Area of current pen = [tex]10^2 = 100 \: \rm feet^2[/tex]
Side length of new pen = 160% of 10 feet = [tex]\dfrac{10}{100} \times 160 = 16 \: \rm feet[/tex]
Thus, area of new pen = [tex]16^2 = 256 \: \rm feet^2[/tex]
Area of new pen - Area of current pen = 256 - 100 = 156 sq. feet.
Thus, the amount in square feet the area of the new pen is larger than the area of the current pen is given by: Option B: 156 ft²
Learn more about percentage here:
https://brainly.com/question/11549320
