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A bakery is $11$ meters wide and $18$ meters long. The baker wants to put a wooden shelf around the inside of the bakery. The wooden shelving costs $\$3.00$ per meter. How much will the baker's shelf cost? $\newline$ $\$$ $\_\_\_\_$

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Area and perimeter: word problems

Full solution

Q. A bakery is

11

meters wide and

18

meters long. The baker wants to put a wooden shelf around the inside of the bakery. The wooden shelving costs

\$3.00

per meter. How much will the baker's shelf cost?

\newline

\$

\_\_\_\_

Calculate Perimeter: Calculate the perimeter of the bakery to determine the total length of the shelving needed. $\newline$ The formula for the perimeter $P$ of a rectangle is $P = 2(\text{length} + \text{width})$ . $\newline$ Here, the length $L$ is $18$ meters and the width $W$ is $11$ meters. $\newline$ So, $P = 2(L + W) = 2(18\,\text{m} + 11\,\text{m}) = 2(29\,\text{m}) = 58\,\text{meters}$ .
Calculate Cost: Calculate the cost of the wooden shelving based on the perimeter. $\newline$ The cost per meter of the shelving is $\$3.00$ . $\newline$ Total cost (C) = Perimeter (P) $\times$ Cost per meter. $\newline$ $C = 58 \, \text{m} \times \$3.00/\text{m}$ .
Perform Multiplication: Perform the multiplication to find the total cost. $C = 58 \, m \times \$3.00/m = \$174.00$ .

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