Find the area of the figure.
a) 41 cm2
b) 90 cm2
c) 95 cm2
d) 100 cm2
e) 106 cm2
a is out

B

Step-by-step explanation:

The figure consists of an inner rectangle with dimensions 8 by 10 and a right triangle on the bottom right with dimensions

base = 12 - 8 = 4 cm and height = 10 - 5 = 5 cm

Total area (A) is equal to the sum of the area of the rectangle and the right triangle, that is

area of rectangle = 10 × 8 = 80 cm²

area of triangle = 0.5 × 4 × 5 = 10 cm²

Hence

A = 80 cm² + 10 cm² = 90 cm² → B

34.5 cm

step-by-step explanation:

generally for a circular segment of angle, θ° and radius r

arc length

= (θ/360) x circumference

= (θ/360) x 2πr

in our case, θ = 60°, π=3.142 and r = 33 cm

substitute into above formula

arc length

= (60/360) x 2(3.142)( 33) = 34.5 cm

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step-by-step explanation: