Rectangle diagonals

Calculate for me the length of the diagonal of a rectangle whose size is 7 cm greater than its width and whose perimeter is 34 centimeters. The dimensions of the rectangle are expressed in natural numbers.

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You need to know the following knowledge to solve this word math problem:

algebra

equation
rearrange variables

arithmetic

square root

planimetry

Pythagorean theorem
right triangle
perimeter
triangle
diagonal
rectangle

Grade of the word problem

practice for 13 year olds
practice for 14 year olds

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