Hello from MrBillDoesMath!
Answer:
Area = 28
Perimeter = 14 + 2 sqrt(17)
Discussion:
In our case
b1 = length of EH = 3 - (-3) = 3 + 3 = 6
b2 = length of FG = 4 - (-4) = 4 + 4 = 8
h = 2- (-2) = 2 + 2 = 4
So
Area = A = (1/2)h(b1+b2) = (1/2)(4)(6 + 8) = 2(14) = 28
Perimeter = length of EH + length FG + length of EF + length of HG
= 6 + 8 + ? + ?
From the Pythagorean theorem
HG = sqrt ( 1^2+ 4^2) = sqrt(17)
Similarly
EF = sqrt(17)
So Perimeter =
6 + 8 + sqrt(17) + sqrt(17)
= 14 + 2 sqrt(17)
Thank you,
MrB