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Word problem involving the area of a rectangle: Problem type 2

Word problem involving the area of a rectangle: Problem type 2-example-1
User David Mas
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1 Answer

7 votes

Answer:


Cost \ total= \$ 1755

Explanation:

Find the total cost of a rectangular shaped carpet, given the carpets length, width, and the cost of carpet per square foot. Using the formula for the area of a rectangle.


\boxed{\left\begin{array}{ccc}\text{\underline{Area of a Rectangle:}}\\\\A=l * w\end{array}\right}

Where...

  • "l" is the length of the rectangle
  • "w" is the width of the rectangle

Given:


l=15 \ ft\\w=9 \ ft\\ 1 \ ft^2= \$ 13

Find:


Cost \ total = \ ?? \

(1) - Calculating the total area of the carpet, which is a rectangle


A=l * w\\\\\Longrightarrow A=15 \ ft * 9 \ ft\\\\\therefore \boxed{A=135 \ ft^2}

(2) Calculate the total cost of the carpet by multiplying the total area of the carpet by the cost of one square foot of carpet


Cost \ total=135 \ ft^2 * \$ 13\\\\\therefore \boxed{\boxed{Cost \ total= \$ 1755}}

Thus, the total cost of the carpet is found.

User Ashley Pillay
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