The width of the rectangular table top is 27 inches.
The correct answer is option (B).
What is the area of rectangle?
A = l × w, where 'l' is the length and 'w' is the width of the rectangle
For given question,
The rectangular top of Karim's table has an area of [tex]3^7[/tex] square inches and a length of [tex]3^4[/tex] inches.
[tex]\Rightarrow A =3^7~sq.in.~,l=3^4~in.[/tex]
Using the formula for the area of the rectangle,
[tex]\Rightarrow A=l\times w\\\\\Rightarrow 3^7=3^4\times w\\\\\Rightarrow w=\frac{3^7}{3^4}\\\\ \Rightarrow w=3^7\times 3^{-4}\\\\\Rightarrow w=3^{7-4}\\\\\Rightarrow w=3^3\\\\\Rightarrow w=27~in.[/tex]
Therefore, the width of the rectangular table top is 27 inches.
The correct answer is option (B).
Learn more about the area of the rectangle here:
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