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1 answer:
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Given :
- The length of a rectangle is 4m more than the width.
- The area of the rectangle is 45m²
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To Find :
- The length and width of the rectangle.
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Solution :
We know that,
So,
Let's assume the length of the rectangle as x and the width will be (x – 4).
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Now, Substituting the given values in the formula :
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Since, The length can't be negative, so the length will be 9 which is positive.
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To solve for the area of a triangle, we multiply the length and height, then divide that by two. L = 10. H = 7.
To solve for the perimeter, or edges, of the triangle, we need to use the Pythagorean Theorem: a² + b² = c² to solve for the third side. We already know two measures: 10 and 7. Now we need to square them, add them together to get c², then take the root of that number.
We cannot simplify √149, so we either leave it, or round it.
This is rounded to the nearest 10,000.
Now that we have the measure of the longest side, we can add all three sides together to get the perimeter of the triangle.
Answer:
∴73,563 calls are made between two cities with populations of 100,000 and 160,000 that are 435 miles apart.
Step-by-step explanation:
Given that,
The number of phone calls between two cities (N )
- directly proportional as the value of populations
and
of two cities.
- Inversely varies as the magnitude of distance (d).
Given that,
N=18,000, d=310 miles, =15,500 and
=180,000
Now,
N=? , d=435 miles, =100,500 and
=160,000
∴73,563 calls are made between two cities with populations of 100,000 and 160,000 that are 435 miles apart.