1. Use the figure shown to complete part a and b.

Mathematics

1 answer:

gregori [183]3 years ago

8 0

Answer:

a) 745.43 cm²

b)129.26 cm

Step-by-step explanation:

a) The area of the figure is the sum of the area of the rectangle and the area of the semicircle.

Keeping this on mind, you have that the area of the figure is:

$A_{figure}=A_{rectangle}+A_{semicircle}\\A_{figure}=length*width+\frac{radius^{2}\pi}{2}\\A_{figure}=(25cm)(20cm)+\frac{(12.5cm)^{2}\pi}{2}\\A_{figure}=745.43cm^{2}$

b) The perimeter of the figure is:

$P_{figure}=(2length+2width)+\frac{diameter*\pi}{2}=2(25cm)+2(20cm)+\frac{(25cm)\pi}{2}=129.26cm$

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