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DiKsa [7]
3 years ago
14

In rectangle PQRS, PR = 18x – 28 and QS = x + 380. Find the value of x and the length of each diagonal.

Mathematics
2 answers:
Flauer [41]3 years ago
5 0

Diagonals of a rectangle are congruent.


18x - 28 = x + 380


Solving for x, I get 17.


So, x = 17.


PR = 18x - 28


PR = 18(17) - 28


PR = 278


QS = x + 380


QS = 17 + 380


QS = 397

Len [333]3 years ago
5 0

Question-

In rectangle PQRS, PR = 18x – 28 and QS = x + 380. Find the value of x and the length of each diagonal.

18x - 28 = x + 380

Answer-

Solving for x, I get 17.

So, x = 17.

PR = 18x - 28

PR = 18(17) - 28

PR = 278

QS = x + 380

QS = 17 + 380

QS = 397


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