In the diagram, the length of segment QV is 15 units. Line m is a perpendicular bisector of line segment S Q. It intersects line segment S Q at point R. Line m also contains points T and V. Line segment T S is 3 x + 2. Line segment S V is 4 x minus 1.
What is the length of segment TQ?

TQ=14

Step-by-step explanation:

Given:

QV=15

Since the figure is a kite because SR=QR and TV is perpendicular to SQ:

SV=QV and ST=TQ

so:

4x-1=15

x=4

ST=3x+2=14

TQ=14

to find the perimeter of the rectangle this is the expression:

x-9+x-9+3x-4+3x-4=138

if we simplify it:

8x-26=138

remember, 138 is what it all adds up to

the length is 11.5cm

the width is 57.5cm

the area is 661.25cm^2

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