Answer:
Step-by-step explanation:
F(-4,-3) ; E (4 , -3)
distance of EF = 4+4 = 8 units
h = 6 units
b = EF = 8 units
[tex]Area = \dfrac{1}{2}*b*h\\\\= \dfrac{1}{2}*8*6\\\\= 4*6\\\\= 24 \ sq.units[/tex]
F(-4,-3) ; D(1,3)
[tex]FD = \sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}\\\\=\sqrt{-1-[-4])^{2}+(3-[-3])^{2}}\\\\=\sqrt{-1+4)^{2}+(3+3)^{2}}\\\\=\sqrt{3^{2}+6^{2}}\\\\=\sqrt{9+36}\\\\=\sqrt{45}\\\\=6.7 units\\\\[/tex]
D(1 , 3) ; E(4,-3)
[tex]ED = \sqrt{(4-1)^{2}+(-3-3)^{2}}\\\\\sqrt{3^{2}+(-6)^{2}}\\\\=\sqrt{9+36}\\\\=\sqrt{45}\\\\=6.7[/tex]
Perimeter = FD + ED + EF
= 6.7 +6.7 + 8
= 21.4 units
