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MATH / How many distinct rectangles are there with integer side lengths such that the…

Problem

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problem

How many distinct rectangles are there with integer side lengths such that the numerical value of area of the rectangle in square units is equal to 55 times the numerical value of the perimeter in units? (Two rectangles are considered to be distinct if they are not congruent.)
Plain-text mathematical notation (without MathML)
How many distinct rectangles are there with integer side lengths such that the numerical value of area of the rectangle in square units is equal to 5 times the numerical value of the perimeter in units? (Two rectangles are considered to be distinct if they are not congruent.)
Original LaTeX notation
How many distinct rectangles are there with integer side lengths such that the numerical value of area of the rectangle in square units is equal to $5$ times the numerical value of the perimeter in units? (Two rectangles are considered to be distinct if they are not congruent.)

level

Level 5

type

Algebra

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