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The rectangular top of his table has an area of 3^7 square inches and a length of 3^4 inches. What is the width of the table top?

A. 9 inchesB. 27 inchesC. 2,187 inchesD. 59,049 inches

The rectangular top of his table has an area of 3 7 square inches and a length of 3 4 inches What is the width

Answer :

Answer:

27

Step-by-step explanation:

Because 3 plus 7 equals 12 plus another 9 equals 27

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Rewritten by : Barada

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:

https://brainly.com/question/20693059

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