What is the perimeter of the quadrilateral formed by joining the points P(-5, 1), Q(3, 7), R(6, 3), and S(-2, -3)?

A. 30 Units
B.
C. 42 Units
D.

The answer to your question is the letter A. 30 units

Step-by-step explanation:

Data

P (-5, 1)

Q (3, 7)

R (6, 3)

S (-2, -3)

Process

1.- Find the distance from P-Q, Q-R, R-S, and P-S

dPQ =

dPQ =

dPQ =

dPQ =

dPQ = 10 units

dQR =

dQR =

dQR =

dQR =

dQR = 5 units

dRS =

dRS =

dRS =

dRS =

dRS = 10 units

dPS =

dPS =

dPS =

dPS =

dPS = 5 units

2.- Calculate the Perimeter

Perimeter = 10 + 5 + 10 + 5

               = 30 units

2 over 5

step-by-step explanation:

the 2: 3 ratio is the length of the ac segment to the cb segment total length. this implies that the ratio between segment ac length and segment ab length is 2: 5. point c is 2/5 from a to b, so the required fraction is 2/5.

+25 = x

step-by-step explanation:

here x is the hypotenuse of a right triangle whose legs are 7 and 24.   by the pythagorean theorem, 7² + 24² must equal x²:

x² = 49 + 576 = 625.   thus, x = +√625 = +25 = x