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REY [17]
2 years ago
15

Estimate the perimeter and the area of the shaded figure to the nearest whole number.

Mathematics
2 answers:
BigorU [14]2 years ago
7 0

Answer:

Perimeter:

about \: 12 \: \: units

Area:

about \: 21 \: {units} ^{2}

Step-by-step explanation:

The perimeter of this shape would be the value of all the sides added together. The sides measure: 4 units, 4 units, 1 unit, 1 unit, 1 unit, 1 unit. Therefore the perimeter is: 12 units

4 + 4 + 1 + 1 + 1 + 1 = 12

To find the area of the shape we have to split it into a square and 2 triangles. The formula to find the area of a square is

a = length \times width \: or \:  {(side)}^{2}

All sides of a square are equal and the side measures 4 units, hence the area is

{4} ^{2} = 16

The formula to find the area of a triangle is

\frac{1}{2} base \:  \times height

Both triangles are equal and as such after finding the area of one triangle you can just multiply it by 2. The base is 3 units and the height is 1.5 units.

\frac{1}{2} b \times h \\  \frac{1}{2} (3) \times 1.5 \\ 1.5 \times 1.5 = 2.25 \\ 2.25 \times 2 = 4.5

area \: or \: square \:  + area \: of \: 2 \: triangles \\ 16 + 4.5 = 20.5 \: or \: 21  (whole\: number)

soldier1979 [14.2K]2 years ago
5 0

Answer:

Step-by-step explanation:

The area and perimeter of the given shaded figure are respectively 33.12 unit² and 20.56 units.

Area and perimeter-based problem:

What information do we have?

Radius of semi-circle = 8 / 2 = 4 unit

Length of remain Rectangle = 8 unit

Width of remain Rectangle = 2 unit

Perimeter of shaded figure = πr + (l + 2b)

Perimeter of shaded figure = (3.14)(4) + [4 + (2)(2)]

Perimeter of shaded figure = 12.56 + 4 + 4

Perimeter of shaded figure = 20.56 units

Area of shaded figure = πr²/2 + lb/2

Area of shaded figure = (3.14)(4)²/2 + (8)(2)/2

Area of shaded figure = (3.14)(8) + 8

Area of shaded figure = 25.12 + 8

Area of shaded figure = 33.12 unit²

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15(3y+1)

Step-by-step explanation:

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6 0
2 years ago
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A cylinder has a base diameter of 16 feet and a height of 19 feet. What is its volume in cubic feet, to the nearest tenths place
Tresset [83]

Answer: Volume = 3818.2 cubic feet

Step-by-step explanation:

The formula for determining the volume of a cylinder is expressed as

Volume = πr²h

Where

r represents the radius of the cylinder.

h represents the height of the cylinder.

π is a constant whose value is 3.14

From the information given,

Diameter = 16 feet

Radius = diameter/2 = 16/2

Radius = 8 feet

Height = 19 feet

Therefore,

Volume = 3.14 × 8² × 19

Volume = 3.14 × 64 × 19

Volume = 3818.2 cubic feet rounded to the nearest tenth

6 0
3 years ago
Can someone help me find the midpoint?
ioda

Answer:

(6,-2.5)

Step-by-step explanation:

The formula for the midpoint between two points is:

(\frac{x_{1} + x_{2}}{2},\frac{y_{1}+y_{2}}{2})

Now we substitute

We have than (9, -1) is (x_{1}, y_{1}) and (3, - 4) is (x_{2}, y_{2})

So:

(\frac{(9) + (3)}{2},\frac{(-1)+(-4)}{2})\\\\(-1) + (-4) = -5\\9 + 3 = 12\\

So, we have:

(\frac{12}{2}, \frac{-5}{2})\\\\12 / 2 = 6\\-5 / 2 = -2.5\\\\(6, -2.5)

<h2>(6,-2.5)</h2><h2 />

I can do a graphic explanation if you want.

6 0
2 years ago
This shape is made using three semicircles The smaller semicircle have diameters of 10cm Calculate the shaded area Take 3.142 an
CaHeK987 [17]

Answer:

The shaded area is 314.2 cm²

Step-by-step explanation:

Here we have the diameter, d₁ of the smaller semicircles as 10 cm

We note that the larger semicircle is subtended (bounded) by the two smaller semicircles;

1 shaded small semicircle and the other is blank

Therefore, the diameter, d₂ of the large semicircle = 10 + 10 = 20 cm

Also the area of the shaded figure consists of the removal of one small semicircle and the addition of the other semicircle to the area of the larger semicircle such that the area of the shaded figure is as follows

Shaded area of figure = π·d₂²/4 + π·d₁²/4 - π·d₁²/4 = π·d₂²/4 = π×20²/4 = 100×3.142 = 314.2 cm²

Shaded area = 314.2 cm².

6 0
3 years ago
Latitia had 12 marbles. After she gave 2 marbles to Amelia she has 10/12 of her marbles left. What fraction of the marbles did l
Elenna [48]

Answer:

The answer here would be 1/6.

Step-by-step explanation:

If Amelia originally has 12 marbles (12/12), then gives away 2, she then has 10 marbles (10/12). This means she gave away 2 of the 12 marbles she has (2/12). This fraction can then be reduced to 1/6 by dividing the denominator and numerator by 2.

7 0
3 years ago
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