Zari and Taye’s running club is planning a summer trip to run along the border of California (where California touches other states or Countries not the ocean). Zari is using a map to estimate the perimeter and area of California. He thinks the state could best be outlined by an irregular octagon. He draws the polygon shown to approximate its shape.
Formulas Necessary to Complete This Task:
Pythagorean Theorem: a2 +b2 = c2
Distance Formula: d=(x2-x1)2+(y2-y1)2
Area of a Triangle: A=12*base*perpendicular height or A=bh2
Area of a Rectangle A=base*height or A=bh
A. Using complete sentences and pictures, identify Zari’s approach to estimating the area of California (How are you breaking the irregular shape into multiple familiar shapes?). Then, describe the logical steps that would follow to estimate the area of California.
B. Using the above steps, estimate the Area of California. Show ALL work.