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Mathematics 17 Online
OpenStudy (anonymous):

What is the approximate area of the composite figure shown? Use three point one four for pi. A rectangle that is sixteen feet long and ten feet wide has a semicircle attached to its right, ten-foot side. So, the semicircle has a diameter of ten feet. one hundred thirty point five square feet one hundred ninety-nine point two five square feet two hundred thirty-eight point five square feet four hundred seventy-five square feet

OpenStudy (anonymous):

@wolf1728 @dg2

OpenStudy (anonymous):

OpenStudy (anonymous):

@paki

ganeshie8 (ganeshie8):

where are you stuck ?

OpenStudy (anonymous):

I don't get it at all.

ganeshie8 (ganeshie8):

you just need to find the area of `rectangle` and the `semicircle`, then add them up

ganeshie8 (ganeshie8):

start by finding the area of `rectangle`

OpenStudy (anonymous):

26?

ganeshie8 (ganeshie8):

Area of rectangle = \(\large \text{length} \times \text{width}\)

OpenStudy (anonymous):

oooo nvm.

ganeshie8 (ganeshie8):

= \(\large 16 \times 10\)

OpenStudy (anonymous):

160ft

ganeshie8 (ganeshie8):

yes ! what about the semicircle ?

ganeshie8 (ganeshie8):

any ideas on how to get its area ?

OpenStudy (anonymous):

Nope.

ganeshie8 (ganeshie8):

whats the formula for area of circle ?

OpenStudy (anonymous):

pi x r^2

OpenStudy (anonymous):

diameter=10 so r=5

OpenStudy (anonymous):

3.14 x 5 x 5 which = 78.5

OpenStudy (anonymous):

Is it c?

ganeshie8 (ganeshie8):

you don't have full circle, so take half of 78.5

ganeshie8 (ganeshie8):

area of semi circle = 78.5/2 = ?

OpenStudy (anonymous):

39.25

ganeshie8 (ganeshie8):

add it to rectangle area

ganeshie8 (ganeshie8):

total area = area of rectangle + area of semi cricle = 160 + 39.25 = ?

OpenStudy (anonymous):

b!

OpenStudy (anonymous):

199.25

OpenStudy (anonymous):

yup

ganeshie8 (ganeshie8):

\(\large \color{red}{\checkmark }\)

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