SOLUTION: Squares PQRS and PTUV both have an area of 256. Line segment PT lies on the diagonal PR of square PQRS. Find the length of WR. Link to diagram: https://ibb.co/M95y0dm

Algebra ->  Length-and-distance -> SOLUTION: Squares PQRS and PTUV both have an area of 256. Line segment PT lies on the diagonal PR of square PQRS. Find the length of WR. Link to diagram: https://ibb.co/M95y0dm      Log On


   

Question 1209485: Squares PQRS and PTUV both have an area of 256. Line segment PT lies on the diagonal PR of square PQRS. Find the length of WR.
Link to diagram: https://ibb.co/M95y0dm
Answer by ikleyn(52915) About Me  (Show Source):
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Squares PQRS and PTUV both have an area of 256. Line segment PT lies on the diagonal PR of square PQRS. Find the length of WR.
Link to diagram: https://ibb.co/M95y0dm
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The squares have equal areas of 256 square units, each.


Hence, the squares are congruent and have the side size of sqrt%28256%29 = 16 units, each.


Side PT lies on diagonal PR, which is 16%2Asqrt%282%29 units long.


Hence and therefore, the segment WR has the length

    16%2Asqrt%282%29+-+16 = 16%2A%28sqrt%282%29-1%29 = 6.627416998  units  (approximately).


Round it as you want.

Solved.