Question

Find the length of the diagonals of rectangle QRST given the following information.

QS = 4x + 6

RT = 6x - 4

Answer 1

Diagonals of rectangle are equal

`\\ \tt\longmapsto 4x+6=6x-4`

`\\ \tt\longmapsto 4x-6x=-4-6`

`\\ \tt\longmapsto -2x=-10`

`\\ \tt\longmapsto x=5`

• QS=RT=4(5)+6=26units[/tex]

Answer 2

since diagonal are equal of rectangle

QS=RT

4x+6=6x-4

6+4=6x-4x

2x=10

x=10/2

x=5

now

diagonal :4x+6=4*5+6=26

Explanation: