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the length and the width of the top of the rectangular study table is represented by the expression (b+6) meter and (b+3) meter respectively . What is the area of the top of the table???

patulong po kailangan kona please​


Sagot :

Answer:

[tex] \therefore [/tex] The area of the rectangle is [tex] b^2 + 9b + 18 [/tex]

Step-by-step explanation:

To get the area of the rectangle. We must use the formula when finding area of rectangle.

  • [tex] A = lw[/tex]

Where:

  • A is the area
  • l is the length
  • w is the width

We're going to do is multiply the length to width to get the product. The product of the length and width will be the area of the rectangle.

Substitute the given to formula.

[tex] A = (b+6)(b+3) [/tex]

[tex] A = bb + b \cdot 3 + 6b+6\cdot 3 [/tex]

[tex] A = bb + 9b + 6 \cdot 3 [/tex]

[tex] A = b^2 + 9b + 18 [/tex]

[tex] \therefore [/tex] The area of the rectangle is [tex] b^2 + 9b + 18 [/tex]