Find the area of the image below: figure qrstu is shown. q is at 3, 0. r is at negative 3, 0. s is at negative 3, 7. t is at 1, 11. u is at 5, 7.
a)59 square units
b)65 square units
c)72 square units
d)83 square units

The are of  QRSTU is 65 square units

B is correct.

Step-by-step explanation:

Please see the attachment for figure QRSTU

Q is at (3,0)

R is at (-3,0)

S is at (-3,7)

T is at (1,11)

U is at (5,7)

First we make three triangle. Join SQ and QT

We get three triangle

ΔSRQ, ΔSQT and ΔTQU

Area of triangle formula

Area of QRSTU = ar(ΔSRQ) + ar(ΔSQT) + ar(ΔTQU)

Area of QRSTU = 21 + 26 + 18

                          = 65 square unit

Hence, The are of  QRSTU is 65 square units