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

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2 Answers

I DONT KNOW THATS WHY IM ASKING

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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)

by Level 11 User (81.5k points)

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