Question 713120: The length and width of a rectangle are given by consecutive integers. The area of the rectangle is 12cm2. Approximate the length of a diagonal of the rectangle to three decimal places.
A). 5.624 cm2
B). 5.628 cm2
C). 5.657 cm2
D). 5.625 cm2
E). 5 cm2
Answer by KMST(5328)   (Show Source):
You can put this solution on YOUR website! The sides of the rectangle must measure 3cm and 4cm, because those are the only consecutive positive integers that multiply to give 12.
A right triangle with legs measuring 3 and 4 cm has a hypotenuse measuring 5 cm.
You could calculate it using Pythagoras, but (3,4,5) is the most popular of the Pythagorean triples
(and the only one I remember).
So the diagonal measures 5 cm.
(Someone got too enthusiastic with the squares and added 2 as exponent to all the answers, but le.gths are measured in plain cm; square cm are for measuring surface area).
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