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Each student desk in a classrm has a rectangular desktop that measures 60cm by 45cm..?
Some of these desks are put together as shown in the diagram(useless diagram only shows a desk at each corner of a rectangular space.)to form a large square table for a class activity.Find..
(a)the least length of a side of a chair.
(b)the number of rows and columns of desks used to form the square table.
(a)the least length of a side of a chair.
(b)the number of rows and columns of desks used to form the square table.
2 Answers
I think you're asking for the smallest square that can be formed by packing 45 cm x 60 cm rectangles.
One side must be multiples of 45 and the other multiples of 60 and the two sides must be equal.
45 Columns = 60 Rows
The greatest common factor is 15 so
3 Columns = 4 rows
Check 3 * 60 = 4 * 45 = 180
The smallest square measures 180 cm on a side.
(of course you could build a square measuring 360 cm on a side as well, or any size as long as for every 3 columns you put 4 rows.)
Hope that helps.
One side must be multiples of 45 and the other multiples of 60 and the two sides must be equal.
45 Columns = 60 Rows
The greatest common factor is 15 so
3 Columns = 4 rows
Check 3 * 60 = 4 * 45 = 180
The smallest square measures 180 cm on a side.
(of course you could build a square measuring 360 cm on a side as well, or any size as long as for every 3 columns you put 4 rows.)
Hope that helps.
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