SOLUTION: The side lengths of a rectangular shaped garden are two consecutive even numbers. Create a quadratic equation then solve to determine the length of the garden’s diagonal.

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Question 1151491: The side lengths of a rectangular shaped garden are two consecutive even numbers. Create a quadratic equation then solve to determine the length of the garden’s diagonal.
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

two consecutive even integers are:+x+%2B+2 and x+%2B+4
if they are side lengths of a rectangular shaped garden, and we need to determine the length of the garden’s diagonal d, we will use Pythagorean theorem

d%5E2=%28x+%2B+2%29%5E2%2B%28x%2B4%29%5E2
d%5E2=x%5E2+%2B+4x%2B4%2Bx%5E2%2B8x%2B16
d%5E2=2x%5E2+%2B12x%2B20
d%5E2=2%28x%5E2+%2B6x%2B10%29