Question #192288

How many different rectangles can be made, whose side lengths in centimeters are counting numbers and whose area is 1159 cm2.?


1
Expert's answer
2021-05-13T00:41:30-0400

find the factors of 1159

1159=1×11591159=1\times1159

1159=19×611159=19\times61

factors of 1159 are; 1, 19, 61, 1159

the rectangles whose area is 1159cm21159cm^2 are;

1)length=1159cm,width=1cm1) length=1159cm, width=1cm

2)length=61cm,width=19cm2) length=61cm, width=19cm

Hence only 2 rectangles can be made


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