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just olya [345]
1 year ago
8

A figure is made up of a square and a rectangle. The area of the square is 64 cm². The breadth of the rectangle is the same leng

th of the square. If the total area of the figure is 232 cm², what is the perimeter of the whole figure? ​
Mathematics
1 answer:
antoniya [11.8K]1 year ago
6 0

Answer:

90 cm

Step-by-step explanation:

Let the side of the square be S

Area of the square = S² = 64

So, S = √64 = 8 cm

Let L be the length of the rectangle and B be the breadth

We know B = S = 8

Area of rectangle = BL = 8L

Total area = Area of square + area of rectangle

Total area   = 64 + 8L  = 232  (given)

Subtracting 64 from both sides yields

8L = 232-64 = 168 or L = 168/8 = 21

Perimeter of square = 4S = 4 x 8 = 32

Perimeter of rectangle = 2(B + L) = 2(8 + 21) = 2 x 29 = 58

Total perimeter = 32 + 58 = 90 cm

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Answer:

Tom is incorrect.

Step-by-step explanation:

A square by definition implies that all sides of the square are the same measurements. In the case of finding the area, A = s². Tom, however, solved it as A = 2s.

In this case:

Area of square = s² = 11² = 121 ft²

121 ft² is the correct measurement.

~

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3 years ago
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Find the mean and standard deviation for the set of data.
dem82 [27]

The mean and standard deviation for the set of data will be 16 and 5.87. Then the correct option is A.

<h3>What is a standard deviation?</h3>

It is the measure of the dispersion of statistical data. Dispersion is the extent to which the value is in a variation.

The set of data is given below.

16, 22, 8, 5, 20, 18, 14, 17, 24

The mean of the data set will be

μ = (16 + 22 + 8 + 5 + 20 + 18 + 14 + 17 + 24) / 9

μ = 144 / 9

μ = 16

Then the standard deviation of the data set will be

\rm \sigma = \sqrt{\dfrac{\Sigma (x_i - \mu)^2}{n}} \\\sigma = \sqrt{\dfrac{(16 - 16)^2 +(22 - 16)^2 + (8-16)^2 + ......+(24-16)^2  }{9}} \\\sigma = \sqrt{\dfrac{310}{9}}\\

Simplify the expression further, then we have

σ = √34.44

σ = 5.87

The mean and standard deviation for the set of data will be 16 and 5.87.

Then the correct option is A.

More about the standard deviation link is given below.

brainly.com/question/12402189

#SPJ1

3 0
1 year ago
Beth works at a grocery store. She earns $8 per hour for her first 20 hours of work in a week. She earns $11 per hour for workin
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Answer:

the 2nd graph

*this is my first time answering a question xd*

3 0
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The area of a rectangular garden is 7722 m“.
Slav-nsk [51]
The width of the garden is 78
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3 years ago
3/4 of the shirts in a store are black. 50% of the shirts are white and the remaining 12 shirts are red. How many black masks ar
saul85 [17]

Answer:

There are total 96 shirts out of which  72 are black and  12 are white and 12 are red.

Step-by-step explanation:

Let the total number of shirts be x.

Then 3/4= 0.75 shirts are black

50% or 50/100 =0.5  of 1/4 ( 1-3/4) remaining are white

and 12 are red

x= 0.75x+0.125x+12

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x-0.875x= 12

0.125x= 12

x= 12/0.125

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There are total 96 shirts out of which 3/4 are black

96*0.75= 72 are black and

96*0.25= 24  are left behind out of which 50% are white.

12 are white and 12 are red.

4 0
3 years ago
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