Aubrey has a pool in her backyard, and she wants to build a fence around the entire area. Aubrey's backyard is 14 meters wide and 16 meters long. It costs $9.42 per meter to install a wooden fence. How much would it cost to put a wooden fence around Aubrey's backyard? $_____

Calculate Perimeter: Calculate the perimeter of Aubrey's backyard to determine the total length of the fence needed. The formula for the perimeter (P) of a rectangle is P = 2(length + width). For Aubrey's backyard, length (L) = 16 meters and width (W) = 14 meters. So, P = 2(L + W) = 2(16 + 14) = 2(30) = 60 meters.Calculate Total Cost: Calculate the total cost of the fence by multiplying the perimeter by the cost per meter. The cost per meter of the wooden fence is $9.42. Total cost = Perimeter × Cost per meter = 60 × $9.42.Perform Multiplication: Perform the multiplication to find the total cost. Total cost = 60 × $9.42 = $564.60.

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Aubrey has a pool in her backyard, and she wants to build a fence around the entire area. Aubrey's backyard is $14\,\text{meters}$ wide and $16\,\text{meters}$ long. It costs $\$9.42$ per meter to install a wooden fence. How much would it cost to put a wooden fence around Aubrey's backyard? $\newline$ $\$\_\_\_\_$

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Q. Aubrey has a pool in her backyard, and she wants to build a fence around the entire area. Aubrey's backyard is

14\,\text{meters}

wide and

16\,\text{meters}

long. It costs

\$9.42

per meter to install a wooden fence. How much would it cost to put a wooden fence around Aubrey's backyard?

\newline

\$\_\_\_\_

Calculate Perimeter: Calculate the perimeter of Aubrey's backyard to determine the total length of the fence needed. $\newline$ The formula for the perimeter $P$ of a rectangle is $P = 2(\text{length} + \text{width})$ . $\newline$ For Aubrey's backyard, length $L$ = $16$ meters and width $W$ = $14$ meters. $\newline$ So, $P = 2(L + W) = 2(16 + 14) = 2(30) = 60$ meters.
Calculate Total Cost: Calculate the total cost of the fence by multiplying the perimeter by the cost per meter. $\newline$ The cost per meter of the wooden fence is $\$9.42$ . $\newline$ Total cost = Perimeter $\times$ Cost per meter = $60 \times \$9.42$ .
Perform Multiplication: Perform the multiplication to find the total cost. $\newline$ Total cost = $$60$ \times \$($9$.$42$) = \$($564$.$60$).