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A rectangular portrait is $4$ feet wide and $7$ feet high. It costs $\$7.87$ per foot 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

4

feet wide and

7

feet high. It costs

\$7.87

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

\newline

\$

_____

Calculate Perimeter: Calculate the perimeter of the portrait to find out the total length of the frame needed. $\newline$ The formula for the perimeter $P$ of a rectangle is $P = 2 \times (\text{width} + \text{height})$ . $\newline$ Width $w$ = $4$ feet $\newline$ Height $h$ = $7$ feet $\newline$ $P = 2 \times (4 + 7)$
Calculate Perimeter Result: Perform the calculation for the perimeter. $\newline$ $P = 2 \times (4 + 7) = 2 \times 11 = 22$ feet
Calculate Total Cost: Calculate the total cost of the frame by multiplying the perimeter by the cost per foot. $\newline$ Cost per foot $c$ = $\$7.87$ $\newline$ Total cost $T$ = Perimeter $\times$ Cost per foot $\newline$ $T = 22 \times \$7.87$
Calculate Total Cost Result: Perform the calculation for the total cost. $\newline$ $T = 22 \times \$(7.87) = \$(173.14)$

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