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miv72 [106K]
3 years ago
11

the area of a rectangle is 42.15 square meters. if the length is 21 meters, what is perimeters of the rectangle?

Mathematics
2 answers:
Vsevolod [243]3 years ago
7 0

Answer:

perimeters of the rectangle=p=46.014 metres

Step-by-step explanation:

Given that:

Length (l) = 21 m

Area of rectangle(A) = 42.15 meter-square

Width (w)=?

Required data:

Perimater of Rectangle=p=?

Calculation:

As we know that Area of rectangle=A=l*w

Putting the value we get

42.15 m(square)=(21 m)*w

or w=42.15/21

or w=2.007 m

Now to find perimters of rectangle we know that

p=2(l + w) metres

putting the values

p=2(21+2.007) metres

p=2(23.007) metres

p=46.014 metres

wariber [46]3 years ago
5 0

Answer:perimeter = 46.014 meters

Step-by-step explanation:

The formula for determining the area of a rectangle is expressed as

Area = length × width

The area of a rectangle is given as 42.15 square meters. The length of the rectangle is given as 21 meters. This means that the width of the rectangle would be

Width = area/length = 42.15/21 = 2.007meters.

The formula for determining the perimeter of a rectangle is expressed as

Perimeter = 2(length + width)

Perimeter = 2(21 + 2.007) = 23.007 × 2 = 46.014 meters

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Solve the following problems. Remember that all reasoning must be explained, and all steps of math work must be shown!
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<h2>Question 1:</h2>

<h3>How to solve Part A</h3>

Since the diagram shows a right triangle and gives out some measurements of the sides, you can use the Pythagorean Theorem (a^{2}+b^{2}=c^{2}) to find the length of MP.

<u>Given:</u>

hypotenuse = 7  – because the radius is 7 units and it can be used as the hypotenuse

One side of the triangle = 4  – because the length of PO is 4 units and it can be used as one sides of the triangle

<u>To Solve:</u>

Since we know two values of the triangle, you can use the Pythagorean Theorem (a^{2}+b^{2}=c^{2}) to find what the other value is. The variables <em>c</em> and <em>b</em> in the formula are already given, and we need to find what <em>a</em> is to find the length of MP. So, plug the given values of <em>c</em> and <em>b</em> into the formula:

a^{2}+4^{2}=7^{2}

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Do the square root of both sides to isolate the variable <em>a</em>:

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Answer: The length of MP is 5.7 units

<h3>How to solve Part A</h3>

If you look at the diagram in the question, you can see that the length of MN is twice the length of MP. So multiply the length of MP, which is 5.7, by 2:

5.7 · 2 = 11.4

Answer: The length of MN is 11.4 units

___________________________________________________________

<h2>Question 2:</h2>

<h3>How to solve Part A</h3>

Look at the <u>first image</u> below ↓

<u>Description of the first image:</u>

The first image shows a drawn image of the circle with labeled parts and measurements from the infomation given from the question.

The diameter is 26cm, which means that the radius is 13cm because the radius half of the diameter in a circle. The very top line is the surface of the water where it’s filled and it has a length of 20cm. Side <em>b</em> of the triangle is 10cm becuase it’s half the length of the the surface of the water bowl. The hypotenuse (side <em>c</em>) is 13cm because it’s the length of the radius. And side <em>a </em>is what what we need to find because it’s the distance between the surface of the water and the center of the bowl. But after when you find the length of side <em>a</em>, you need to add the length of the radius (which is 13cm) to the length of side <em>a</em> because that’s the rest of the length/depth of the water that’s filled in the bowl. The length of the radius is included with the depth of the water.

<u>Total information given:</u>

⇒ radius = 13cm  – because the radius is half of the diameter, and the diameter has a length of 26cm

⇒ length of the surface where the water’s filled = 20cm

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⇒ side <em>b</em> = 10cm  – because it’s half the length of the surface where the water’s filled

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Since there is a right triangle shown in the image, you can use the Pythagorean Theorem  (a^{2}+b^{2}=c^{2}) to find the missing length of side <em>a</em>. Plug the given values of <em>c</em> and <em>b</em> into the formula:

a^{2}+10^{2}=13^{2}

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a^{2}=69

Do the square root of both sides to isolate the variable <em>a</em>:

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So,

13 + 8.3 = 21.3

Answer: The depth of the water is approximately 21.3 cm

<h3>How to solve Part B (is in the image below)</h3>

<em />

<em>Sorry for the very, VERY long explanation and the long solving process, but I really, really hope you understand and that this helps with your question! </em>:)

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Step-by-step explanation:

Hope u happy with my answer...

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