In counterclockwise order that's
R(2,4), Q(-4,4), U(-4,3), T(2,-3), S(5,-3)
That's a trapezoid, height 7 upper base 6, lower base 9, so average base 15/2 and area 7(15)/2 = 105/2 = 52.5.
Answer: 52.5
The shoelace theorem gives the answer without thinking. We write the list on top of itself shifted and add up the cross produces:
R(2,4), Q(-4,4), U(-4,-3), T(2,-3), S(5,-3)
Q(-4,4), U(-4,-3), T(2,-3), S(5,-3), R(2,4),
[tex]A = \frac 1 2 | 2(4)-(4)(-4) + -4(-3)-(-4)(4) + -4(-3)- -3(2) + 2(-3)-(-3)(5) + 5(4)- -3(2)| = \frac{105}{2} \quad\checkmark [/tex]
Answer: the answer is 52.5 hope this helps have a blessed day
Step-by-step explanation: Please give other person brainliest (there really smart)
