Working out area 1

sezwillow84 · August 12th, 2018, 12:06 PM

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.

sezwillow84 · August 12th, 2018, 12:13 PM

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.

skipjack · August 13th, 2018, 08:22 AM

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.

Denis · August 13th, 2018, 09:42 AM

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?

sezwillow84 · August 13th, 2018, 09:42 AM

So do you divide 2275 cm by 144 to get the final answer?

sezwillow84 · August 13th, 2018, 09:44 AM

Quote:

Originally Posted by Denis $View Post$

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

Denis · August 13th, 2018, 10:13 AM

Quote:

Originally Posted by sezwillow84 $View Post$

12 squares you can draw inside the rectangle

Yes.
What if the rectangle is changed to 240 by 700 ?

sezwillow84 · August 13th, 2018, 12:12 PM

Quote:

Originally Posted by Denis $View Post$

Yes.
What if the rectangle is changed to 240 by 700 ?

14

Denis · August 13th, 2018, 12:28 PM

240 by 700 is SMALLER than 240 by 720.
So HOW did you get 14?
Can't you see that's impossible?

sezwillow84 · August 13th, 2018, 01:05 PM

Quote:

Originally Posted by Denis $View Post$

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.

August 12th, 2018, 12:13 PM	#2
sezwillow84 Member Joined: Aug 2018 From: Warrington Posts: 50 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.
$sezwillow84 is offline$

August 13th, 2018, 08:22 AM	#3
skipjack Global Moderator Joined: Dec 2006 Posts: 19,722 Thanks: 1807	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.
$skipjack is online now$

August 13th, 2018, 09:42 AM	#4
Denis Math Team Joined: Oct 2011 From: Ottawa Ontario, Canada Posts: 13,315 Thanks: 935	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?
$Denis is offline$

August 13th, 2018, 09:42 AM	#5
sezwillow84 Member Joined: Aug 2018 From: Warrington Posts: 50 Thanks: 1	So do you divide 2275 cm by 144 to get the final answer?
$sezwillow84 is offline$

August 13th, 2018, 12:28 PM	#9
Denis Math Team Joined: Oct 2011 From: Ottawa Ontario, Canada Posts: 13,315 Thanks: 935	240 by 700 is SMALLER than 240 by 720. So HOW did you get 14? Can't you see that's impossible?
$Denis is offline$

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