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Stuckeyburg is a very small town in rural America. Use the map to approximate the area of the town.
a. 40 miles2
b. 104 miles2
c. 93.5 miles2
d. 92 miles2
d. The area of Stuckeyburg will be found by dividing the region into a triangle and a rectangle . Determine the area of the rectangle (A = lw) and add the area of the triangle ( 1/2 bh) for the total area of the region. Referring to the sketch, the area of the rectangle is (10)(8) = 80 miles2. The area of the triangle is 1/2 (8)(3) = 12 miles2. The sum of the two regions is 80 miles2 + 12 miles2 = 92 miles2. If you select a, you found the perimeter. If you select b, you found the area of the rectangular region but did not add the triangular region.
Solve by factorization X 2 +(a/a+b + a+b/a)x+1 = 0 X 2 +(a/a+b + a+b/a)x+1 => X 2 +(a/a+b x a+b/ax + a/a+b .a+b/a) => X[x+a/a+b] +a+b/a[a+a*a+b]= 0 => X= -a
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