What is the area of this polygon? A. 43.5 units
B. 45.5 units
C. 46.5 units
D. 49.5 units

A. 43.5 units

Step-by-step explanation:

(8×4)+(½×3×4)+(½×3×2)+(½×5×1)

= 32+6+3+2.5

=43.5 units

let soccer = x and golf = y

part a

1st equation: x + y = 125

2nd equation: x = y +45

part b

replace x in the 1st equation with the 2nd one:

y + 45 + y = 125

simplify:

2y + 45 = 125

subtract 45 from each side:

2y = 80

divide both sides by 2:

y = 80/2

y = 40

she plays golf for 40 minutes.

part c

no because she plays soccer for 45 minutes longer than golf 40 +45 =   85 minutes, not 80 minutes.

answer for #1 is c

answer for #2 is d

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