What is thr exact perimeter and are of the figure in the coordinate plane?

Step-by-step explanation:

in order to calculate the lengths of side AB,AC and BC we need to use the pythagorean theorem for triangles ADB,AEC and BFC.

for ΔADB:

similarly for ΔAEC

similarly for ΔBFC

Hence, perimeter of ΔABC= AB+AC+BC=

                          =

area of square DBFE= (side)^2

since the length of the side of square DBFE=8 units.

Hence, Area of square DBFE= (8)^2=64 square units.

Area of triangle is given as:  

where b denotes the base of the triangle and h denotes the height of triangle and for right angled triangle it is equal to the perpendicular side.

for ΔADB; h=4 units and b=8 units

Hence, area ΔADB=

for ΔAEC ; h=4 units ,b=4 units

Hence, area ΔAEC =

for ΔBFC ; h=8 units and b=4 units

Hence area of ΔBFC=

Hence area ΔABC=64-(16+16+8)=24 square units.

step-by-step explanation:

table 3 represents a direct variation function. : )