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August 12th, 2018, 12:06 PM   #1
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Working out area 1

The campsite shop also sells boxes of Pick-Me-Up teabags.

The base of each box is a 120 mm square.

The shelf where the boxes are displayed is a 65 cm x 35 cm rectangle.

Work out the maximum number of boxes that will fit on the shelf.
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 August 12th, 2018, 12:13 PM #2 Member   Joined: Aug 2018 From: Warrington Posts: 47 Thanks: 1 So to work this out I have converted 120 mm divided by 10 = 12 cm then i have divided 2275 cm by 12 cm squared = 189 cm squared. The final answer I got was 189.58 so the maximum number of boxes would be 189.
 August 13th, 2018, 08:22 AM #3 Global Moderator   Joined: Dec 2006 Posts: 19,291 Thanks: 1683 You should have divided by 144. However, after placing two rows of five boxes, the remaining space is in an L-shape (at best) that doesn't allow any more boxes to fit in.
 August 13th, 2018, 09:42 AM #4 Math Team   Joined: Oct 2011 From: Ottawa Ontario, Canada Posts: 12,904 Thanks: 883 Mr. Willow, a similar problem: You have a rectangle with dimensions 240 by 720. How many 120 by 120 squares can you draw inside that rectangle?
 August 13th, 2018, 09:42 AM #5 Member   Joined: Aug 2018 From: Warrington Posts: 47 Thanks: 1 So do you divide 2275 cm by 144 to get the final answer?
August 13th, 2018, 09:44 AM   #6
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Quote:
 Originally Posted by Denis Mr. Willow, a similar problem: You have a rectangle with dimensions 240 by 720. How many 120 by 120 squares can you draw inside that rectangle?
12 squares you can draw inside the rectangle

August 13th, 2018, 10:13 AM   #7
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Quote:
 Originally Posted by sezwillow84 12 squares you can draw inside the rectangle
Yes.
What if the rectangle is changed to 240 by 700 ?

August 13th, 2018, 12:12 PM   #8
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Quote:
 Originally Posted by Denis Yes. What if the rectangle is changed to 240 by 700 ?
14

 August 13th, 2018, 12:28 PM #9 Math Team   Joined: Oct 2011 From: Ottawa Ontario, Canada Posts: 12,904 Thanks: 883 240 by 700 is SMALLER than 240 by 720. So HOW did you get 14? Can't you see that's impossible?
August 13th, 2018, 01:05 PM   #10
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Quote:
 Originally Posted by Denis 240 by 700 is SMALLER than 240 by 720. So HOW did you get 14? Can't you see that's impossible?
I multiplied 240 by 700 then divided the answer by 200.

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