Find the area of a trapezoid, given the bases b1 = 5.6 cm and b2 = 8.5 cm and height h = 6 cm. 50.6 cm2 42.3 cm2 84.6 cm2 25.3 cm2

The answer to your question is:   area = 42.3 cm²

Step-by-step explanation:

Data

base 1 = 5.6 cm

base 2 = 8.5 cm

height = 6 cm

Formula

area = 1/2 (base 1 + base 2) x height

Process

area = 1/2 (5.6 + 8.5) x 6

area = 1/2(14.1) x 6

area = 42.3 cm²

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.

associative property of multiplication