QUESTION: FOR EACH OF THE FOLLOWING STATE WHETHER THE GIVEN PERIMETER IS POSSIBLE FOR A RECTANGLE WITH AN AREA OF 42 SQUARE UNITS AND WHOLE NUMBER SIDE LENGTHS.
A 28 UNITS B 46 UNITS C 34 UNITS D 41 UNITS
Since the side lengths are integers, then those integer values must be factors of the area of the rectangle.
Area = 42 sq units.
factors of 42 are,
1,42 -- perimeter = 2*(1 + 42) = 86
2,21 -- perimeter = 2*(2 + 21) = 46
3,14 -- perimeter = 2*(3+14) = 34
6,7 -- perimeter = 2*(6 + 7) = 26
A 28 UNITS B 46 UNITS C 34 UNITS D 41 UNITS
Valid answers are: B(46) and C(34)