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Ellis's backyard has a 6.25 by 6.25 m patio. She would like to build a 1.5m wide extension around 3 sides of the patio, as the figure shows. She will buy 0.25 by 0.25 m tiles that come 25 to a package.
How many packages does Ellis need to buy to build the extension?

 

 Apr 12, 2020
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To find the area of the extension, I'm going to find the total area (patio and extension) and subtract the patio.

 

Total area:  length  =  1.5 + 6.25 + 1.5  =  9.25     height  =  1.5 + 6.25  =  7.75

    Total Area  =  9.25 x 7.75  =  71.6875

Area of the patio  =  6.25 x 6.25  =  39.0625

Area of the extension  =  Total Area - Area of the patio  =  71.6875 - 39.0625  =  32.625

 

Area covered by one box of tiles:  25 x 0.25 x 0.25  =  1.5625

 

Number of boxes needed:  32.625 / 1.5625  =  20.88  =  21 boxes

 Apr 12, 2020

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