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A rectangular portrait is $1$ meter wide and $1$ meter high. It costs $\$25.00$ per meter to put a gold frame around the portrait. How much will the frame cost? $\newline$ $\$$ _____

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Area and perimeter: word problems

Full solution

Q. A rectangular portrait is

1

meter wide and

1

meter high. It costs

\$25.00

per meter to put a gold frame around the portrait. How much will the frame cost?

\newline

\$

_____

Calculate Perimeter: Calculate the perimeter of the portrait to determine how many meters of framing are needed. $\newline$ The portrait is $1$ meter wide and $1$ meter high, so the perimeter is the sum of all sides. $\newline$ Perimeter $= 2 \times (\text{Width} + \text{Height})$ $\newline$ Perimeter $= 2 \times (1 + 1)$ $\newline$ Perimeter $= 2 \times 2$ $\newline$ Perimeter $= 4$ meters
Calculate Frame Cost: Calculate the cost of the frame by multiplying the perimeter by the cost per meter. $\newline$ Cost = Perimeter $\times$ Cost per meter $\newline$ Cost = $4$ meters $\times$ $\$25.00$ per meter $\newline$ Cost = $\$100.00$

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