Question

Find length of PR. TR=x+11

Answer 1

PR = 34

Explanation:

The diagonals of a square bisect each other, and are congruent, thus

QS = PR, that is

7x - 8 = x + 11 + x + 11 = 2x + 22 ( subtract 2x from both sides )

5x - 8 = 22 ( add 8 to both sides )

5x = 30 ( divide both sides by 5 )

x = 6

Thus

PR = 2x + 22 = 2(6) + 22 = 12 + 22 = 34

Answer 2

Explanation:

In a square,

we know that when diagonals bisect each other it is divided into two equal parts

so

TR = TP

So

PR = x +11 + x + 11

= 2x + 22

And

Both diagonals are equal so

QS = PR

7x - 3 = 2x + 22

7x - 2x = 22 + 3

5x = 25

x= 25 /5

x = 5

Now

PR = 2 * 5 +22= 10 +22 = 32