Question 302890
If the area of the yard is 256 ft.2 and the walkway is 4 ft. wide, what is the area of the walkway?
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Draw the picture.
You have a rectangle inside a larger rectangle.
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Equations:
The smaller rectangle has area xy = 256 sq ft.
The larger rectangle has area (x+8)(y+8)
= xy +8x + 8y + 64
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Area of the walkway = larger area - smaller area
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= xy+8x+8y+64-256
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Substitute for xy:
= 256 + 8(x+y) - 256
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= 8(x+y) sq. ft.
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Cheers,
Stan H.
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