Painting Problem: A painter has seven 3-ft by 5-ft rectangular drop cloths. If h

Question

Painting Problem: A painter has seven 3-ft by 5-ft rectangular drop cloths. If he lays each drop cloth on the carpet as a 3-ft by 5-ft rectangle, without folding, cutting, or tearing them, then what is the maximum area that he can cover with these drop cloths in an 8-ft by 13-ft room? Painting Problem: A painter has seven 3-ft by 5-ft rectangular drop cloths. If he lays each drop cloth on the carpet as a 3-ft by 5-ft rectangle, without folding, cutting, or tearing them, then what is the maximum area that he can cover with these drop cloths in an 8-ft by 13-ft room?

Explanation / Answer

The dimensions of drop cloth are 3 ft by 5 ft. Therefore, the area covered by a drop cloth is 3*5=15 sq ft.

The dimensions of the room are 8ft by 13ft. Therefore the area of the room is 8*13= 104 sq ft.

Now the maximum area that the drop cloth can cover in the room is 75 sq ft. So we can only use it 5 times

Since we cannot fold it or cut it or tear it, we will have to use hte whole area of the drop cloth which is 15 sq ft.

.............................................................Total 13ft..........................................................................................................

3ft *5ft 3ft*5ft 3ft 3ft *5ft
3ft *5ft
5ft 2ft

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