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Gennadij [26K]
3 years ago
13

A rectangular room 14 feet by 12 feet has a semicircular sitting area attached with a diameter of 12 feet. What is the total are

a of the room and the sitting area?
Mathematics
1 answer:
madam [21]3 years ago
3 0
The total area in this case will be given by the sum of the two areas: rectangular plus semicircular. We have then:
 A = (14) * (12) + (pi / 2) * (6 ^ 2) = 224.55 ft ^ 2.
 the total area of the room and the sitting area is 224.55 ft ^ 2.
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The length of the SM parallelogram when the length of the rectangle is 15 cm and width is 8 cm is 8/5 units.

<h3>What is the area of a rectangle?</h3>

Area of a rectangle is the product of the length of the rectangle and the width of the rectangle. It can be given as,

A=a\times b

Here, (a)is the length of the rectangle and (b) is the width of the rectangle

The length of the rectangle is 15 cm and width is 8 cm. Thus, the area of it is,

A=15\times8\\A=120\rm\; cm^2

All three parts has equal area. Thus, the area of parallelogram NCMA is,

A_p=\dfrac{120}{3}\\A_p=40\rm\; cm^2

MN is the height of the parallelogram. Thus,

A_p=h\times AS\\40=h\times15\\h=\dfrac{40}{15}\\h=\dfrac{8}{5}

Thus, the length of the Sm parallelogram when the length of the rectangle is 15 cm and width is 8 cm is 8/5 units.

Learn more about the area of rectangle here;

brainly.com/question/11202023

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