SOLUTION: A new rectangular patio has been built on the end of the house. It measures 3.8 m by 1.9 m. You want to plant a garden that is 1.5 m wide around the patio on three sides. The garde

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Question 1055227: A new rectangular patio has been built on the end of the house. It measures 3.8 m by 1.9 m. You want to plant a garden that is 1.5 m wide around the patio on three sides. The garden beds are to be 0.5 metres deep. If you order 7.3 cubic metres, explain with a diagram whether enough soil has been ordered.
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
Planning for the smallest volume, the three sides are 3.8, 1.9, and 1.9 meters. If the solution indicates that 7.3 cubic meters of soil is not enough, then it REALLY is not enough.

Outer dimensions 3.8%2B1.5 and 1.9%2B2%2A1.5;

Volume of the flower bed:
%28%283.8%2B1.5%29%281.9%2B2%2A1.5%29-3.8%2A1.9%29%280.5%29

%28%283.8%2B1.5%29%281.9%2B3%29-3.8%2A1.9%29%2F2
Use some of your algebra concepts or skills...
%283.8%2A1.9%2B1.5%2A1.9%2B3.8%2A3%2B1.5%2A3-3.8%2A1.9%29%2F2

%281.5%2A1.9%2B3.8%2A3%2B1.5%2A3%29%2F2

%282.85%2B11.4%2B4.5%29%2F2

highlight%289.375%29-----cubic meters of soil needed.

This is more than the "if" purchase of 7.3 cubic meters, so this 7.3 cubic meters soil is not enough.


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MOST of the computations were done LAST.