Question

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

Answer 1

`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.