<h2><u>Question :-</u></h2>
Austen needs to buy a bathroom mirror that is 2 feet wide and 3 feet long. If the mirror sells for $5.00 per square foot, what will the total cost of the mirror be?
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<h2><u>Solution :-</u></h2>
<h3><u>Given Information :-</u></h3>
- <u>Length of the mirror Austen needs to buy ➢</u> 3 ft
- <u>Width of the mirror Austen needs to buy ➢</u> 2 ft
- <u>Cost of mirror per square foot ➢</u> $5.00
<h3><u>To Find :-</u></h3>
- Total cost of the mirror Austen needs to buy.
<h3><u>Formula Used :-</u></h3>
- Area of Mirror = Length × Width
- Total cost of mirror = Area of mirror × Cost of mirror per square foot
<h3><u>Calculation :-</u></h3>
<em><u>Substituting the values given in the 1st formula, We get, </u></em>
⇒ Area of mirror = ( 3 × 2 ) ft²
⇒ Area of mirror = 6 ft²
- <u>Now finding the total cost of mirror,</u>
<em><u>Substituting the values calculated above in the 2nd formula, We get </u></em>
⇒ Total Cost of mirror = $ ( 6 × 5.00 )
⇒ Total Cost of mirror = $30
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<h2><u>Final Answer :-</u></h2>
- Total cost of the mirror Austen needs to buy will be $30
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, so the series converges (and thereby has a sum), so the answer is D.