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Brian's backyard deck cost $\$101.46$ per square meter to build. The deck is $8$ meters wide and $10$ meters long. How much did it cost to build the deck? $\newline$ $\$$ $\_\_\_\_\_$

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Area and perimeter: word problems

Full solution

Q. Brian's backyard deck cost

\$101.46

per square meter to build. The deck is

8

meters wide and

10

meters long. How much did it cost to build the deck?

\newline

\$

\_\_\_\_\_

Determine area of deck: Determine the area of the deck. $\newline$ To find the area of a rectangle, multiply the width by the length. $\newline$ Area = Width $\times$ Length $\newline$ Area = $8$ meters $\times$ $10$ meters
Calculate area of deck: Calculate the area of the deck. Area = $8 \, \text{meters} \times 10 \, \text{meters} = 80 \, \text{square meters}$
Calculate total cost: Calculate the total cost to build the deck. $\newline$ To find the total cost, multiply the area of the deck by the cost per square meter. $\newline$ Total Cost = Area $\times$ Cost per square meter $\newline$ Total Cost = $80$ square meters $\times$ $\$101.46$ per square meter
Perform multiplication for total cost: Perform the multiplication to find the total cost. $\newline$ Total Cost = $\(80\) \times \$(\(101\).\(46\)) = \$(\(8\),\(116\).\(80\))

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