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?

Guest Apr 12, 2020

#1**+1 **

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

geno3141 Apr 12, 2020