Posted by **TRACY** on Friday, December 23, 2011 at 6:42pm.

I'm really confused how you do this

Two unequal semicircles, a square , and a rectangle are joined. If the dimensions of the rectangle are 8in by 16in, find the are of the entire region to the nearest 10th.

theres a rectangle in the middle and semi circle on top and side

- MATH -
**Reiny**, Friday, December 23, 2011 at 6:51pm
I sketched it the following way:

a square joined to the width of the rectangle on the left side

A semi-circle on top with diameter along the length of the rectangle.

A semi-circle at the right side of the rectangle with diameter along the width of the rectangle.

Area of square = 64

area of rectangle = 128

area of small sem-circle = (1/2)π(4^2) = 8π

area of large semi-circle = (1/2)π(8^2) = 32π

total = 64+128+8π+32π = .....

- MATH -
**TRACY**, Friday, December 23, 2011 at 6:57pm
the answer is 192 + 40pie

that equals 317.6 inches square

- MATH -
**Reiny**, Friday, December 23, 2011 at 8:49pm
correct

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