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3 years ago

What is the perimeter and area

Mathematics

2 answers:

Stels [109]3 years ago

5 0

The perimeter is the length of the outline of a shape. Area is the amount of space a figure takes up.

german3 years ago

5 0

The perimeter is 21.4 yds and the are is 18.87

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Helpppp pleaseeeeeeeeeeeeeee

Vesna [10]

Answer:

Find below the calculations of the two areas, each with two methods. The results are:

Upper triangle:

$Area=5000\sqrt{3}units^2$

Lower triangle:

$Area=14,530m^2$

Explanation:

A) Method 1

When you are not given the height, but you are given two sides and the included angle between the two sides, you can use this formula:

$Area=side_1\times side_2\times sin(\alpha)$

Where, $\alpha$ is the measure of the included angle.

1. Upper triangle:

$side_1=200units\\ \\ side_2=100units\\ \\ \alpha =60\º\\ \\ Area=200units\times 100units\times sin(60\º)/2\\ \\ Area=5000\sqrt{3}units^2$

2. Lower triangle:

$side_1=231m\\ \\ side_2=150m\\ \\ \alpha =123\º\\ \\ Area=231m\times 150m\times sin(123\º)/2\\ \\ Area=14,529.96m^2\approx14,530m^2$

B) Method 2

You can find the height of the triangle using trigonometric properties, and then use the very well known formula:

$Area=(1/2)\times base\times height$

Use it for both triangles.

3. Upper triangle:

The trigonometric ratio that you can use is:

$sine(\alpha)=opposite\text{ }leg/hypotenuse$

Notice the height is the opposite leg to the angle of 60º, and the side that measures 100 units is the hypotenuse of that right triangle. Then:

$sin(60\º)=height/100units\\ \\ height=sin(60\º)\times100units\\ \\ height=50\sqrt{3}units$

$Area=(1/2)\times base\times height=(1/2)\times 200units\times 50\sqrt{3}units=5,000\sqrt{3}units^2$

3. Lower triangle:

$sin(180\º-123\º)=height/231m\\ \\ height=sin(57\º)\times 231m\\ \\ height=193.7329m^2$

$Area=(1/2)\times base\times height=(1/2)\times 150m\times 193.7329m^2\\\\ Area=14,529.96m^2\approx 14,530m^2$

5 0

3 years ago

Subject:Mathematics

sertanlavr [38]

Answer:

0.03

Step-by-step explanation:

you move the decimal points two digits to the left

8 0

3 years ago

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The lengths of the legs of a right triangle are 4.5 inches and 6 inches.

OLga [1]

7.5
Using the Pythagorean theorem you can determine this answer! Let me know if I’m wrong!

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2 years ago

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How many games must be played when 7 players are in the tournament?

AURORKA [14]

I believe the answer is 14

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3 years ago

How do you factor the expression <img src="https://tex.z-dn.net/?f=3d%20%7B%7D%5E%7B2%7D%20%20%2B%2023d%20%2B%2014" id="TexF

Lapatulllka [165]

$3 {d}^{2} + 23d + 14$

first multiply 14•3 = 42

find 2 numbers that when multiplied it equals to 42 and when added it equals to 23, in this case the numbers are 21 & 2

replace the 23d with the 2 numbers
$3 {d}^{2} + 21d + 2d + 14$
factor out 3d from the expression
$3d(d + 7) + 2d + 14$
then factor out 2 from the expression
$3d(d + 7) + 2(d + 7)$
factor out (d+7)
$(3d + 2)(d + 7)$

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3 years ago