Percentage increment means the part of original value is added to the value. The new length of the living room is 14.4 feet long and new width of the living room is 1.6 feet long. The option A is the correct option.
What is the percentage of a number?
Percentage of a number or ratio is fraction of hundred. It is expressed with the sign "%".
Given information-
The length of the living room is 12 feet.
The width of the living room is 8 feet.
The owner increases the 20 percent of length and 20% width.
Suppose new length is [tex]l[/tex] feet long. As the owner increases the 20 percent of length. Thus the new length will be sum of original length and the 20 percent of it. Hence,
[tex]l=12+\dfrac{20}{100}\times12 \\l=12+2.4\\l=14.4[/tex]
Thus the new length of the living room is 14.4 feet long.
Suppose new width is [tex]w[/tex] feet long. As the owner increases the 20 percent of width. Thus the new width will be sum of original width and the 20 percent of it. Hence,
[tex]w=8+\dfrac{20}{100}\times8 \\w=8+1.6\\w=9.6[/tex]
Thus the new width of the living room is 1.6 feet long.
Hence the new length of the living room is 14.4 feet long and new width of the living room is 1.6 feet long. The option A is the correct option.
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