Question

A rectangular window frame measures $24$ inches by $36$ inches. If trim for the window costs $\$ \,2.75$ per linear foot, how much will it cost to put trim around the window?

Answer 1

Hint: In the above question, first we have to find the perimeter of the rectangular window. Then we have to convert the perimeter from inches to feet. In this question, the cost per foot is given. To find the total cost we have to multiply the cost of foot with the perimeter of the rectangular frame.

Complete step-by-step answer:
In the above question, the dimensions of a rectangular window are given as $24$inches by $36$ inches.
First, we have to find the perimeter of the rectangular frame using the formula $Perimeter = 2\left( {l + b} \right)$.
Now, put the value of length as $24$inches and breadth as $36$ inches in the above formula.
$ \Rightarrow Perimeter = 2\left( {24 + 36} \right)$
$ \Rightarrow Perimeter = 2 \times 60$
$ \Rightarrow Perimeter = 120\,inches$
But we are given the cost per foot. Therefore, we have to convert the inches in feet.
Now, we have to find our feet.
We know that $1foot = 12inches$.
Therefore, to find feet we have to divide $120$ by $12$.
$Perimeter\left( {\operatorname{in} \,feet} \right) = \dfrac{{120}}{{12}}$
$ \Rightarrow Perimeter\left( {\operatorname{in} \,feet} \right) = 10$
The cost is given as $\$ \,2.75$per foot.
So, to find the total cost we have to multiply perimeter with cost per foot.
Therefore,
Cost to put trim around the window $ = 10 \times 2.75\,feet$
$ \Rightarrow 27.5\,feet$
Therefore, the cost to put trim around the window is $27.5feet$.

Note: It is always advisable to read the question properly. Otherwise, the chances of getting the wrong answers are high. As in this question, if we do not read the question properly, there is a chance that we forgot to convert the perimeter from inches to feet.