Posted by **syd** on Wednesday, August 27, 2008 at 7:33pm.

jennifer has made a rectangle using 48 square titles. if she adds teh length and width of her rectangle together she gets a prime number . what is the length and width of jennifers rectangle??

- math -
**DrBob222**, Wednesday, August 27, 2008 at 7:57pm
You might try squaring a few numbers; i.e., 2^2= 4

3^2 = 9

4^2 = 16

5^2 = 25

etc.

Now look at the prime numbers; i.e., 2, 3, 5,7,11,13,17,19,23, etc.

Which of the "squares" will divide evenly into 48? Add those sides together to see if the sum is a prime number.

- math -
**Reiny**, Thursday, August 28, 2008 at 12:52am
so the area must be 48 square units, where the length and width are whole numbers

so factors of 48 would be

1x48

2x24

3x16

4x12

6x8

the sums of these possibilites are

49,26,19,16, and 14

of these only 19 is a prime number

so the length of Jennifer's triangle is 16 and its width is 3

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