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Anit [1.1K]
3 years ago
15

Among all rectangles having a perimeter of 25m, find the dimensions of the one with the largest area​

Mathematics
2 answers:
Katen [24]3 years ago
7 0

Answer:

Square with side length 25/4 m

Step-by-step explanation:

The area is always going to be largest for a rectangle when the two dimensions are equal.  You are looking for a square. What square has perimeter 25? 4s=25 so the side length of this rectangle (Square) is 25/4 m.

Alchen [17]3 years ago
3 0

Answer:

It's a square  6.25 * 6.25 m.

Step-by-step explanation:

We can do this using calculus.

Let the  length of the  rectangle be x m.

2x + 2w = 25   where w = the width.

2w = 25 - 2x

w = 12.5 - x

So the area A = x(12.5 - x) = 12.5x - x^2.

Finding the derivative:

dA /dx = 12.5 - 2x

For a maximum area this = zero

12.5 - 2x = 0

x = 6.25m.

and w = 25 - 12.5  = 6.25m.

(For any rectangle the  maximum area is always a square).

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Further explanation

There are general rules used in rounding numbers

1. Determine the rounded digit

2. Pay attention to the digits afterward (right). If the digit shows the numbers 0, 1, 2, 3 or 4, then the digit to be rounded is fixed, and the digit on the right is 0 all

3. If the digit on the right shows the numbers 5, 6, 7, 8 or 9, then the digit to be rounded is added to one, and the digit on the right side is made all 0

In rounding the nearest hundreds number, then we see the digit in the number tens (right of the digit hundreds), if it is worth 0, 1, 2, 3 or 4, then it remains, but if it shows numbers 5, 6, 7, 8 or 9, then the digit to be rounded is added one, and the right-hand side is 0

Calculated from the decimal point, the place on the right represents tents, hundredths, thousandths, etc.

a.  32.697

Decomposition

ten : 3

one : 2

tenth : 6

hundredth : 9

thousandths : 7

For the tenth number is 6, the value on the right is 9 then rounded become 32.7

For the hundredth number is 9, the value on the right is 7 then rounded become 32.70

for the one number is 2 , the value on the right is 6 then rounded become 33

b. 141.999

Decomposition

hundred : 1

ten : 4

one : 1

tenth : 9

hundredth : 9

thousandths : 9

a. For the tenth number is 9, the value on the right is 9 then rounded become 142.0

For the hundredth number is 9, the value on the right is 9 then rounded become 142.00

For the ten number is 4, the value on the right is 1 then rounded become

14

For the ten number is 1, the value on the right is 4 then rounded become

142

<h3>Learn more </h3>

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7 0
3 years ago
A book has 500 pages numbered 1,2,3 and so on. How many times does the digit 1 appear in the page numbers?
elena-14-01-66 [18.8K]

Answer:

200

Step-by-step explanation:

This book has 500 pages in total.

We should split up the place values.

1 - 9

One only appears once.

1

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One appears 11 times.

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One only appears 8 times.

1 + 11 + 8

Add:

1 + 11 + 8

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Since the same is for  200-299, and so on. Let us add twenty four times.

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3 years ago
Quick I need an answer to this Queston:
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Step-by-step explanation:

-  \frac{3}{4} x + 2 \frac{1}{4 } =  \frac{1}{2} x + 1

-  \frac{3}{4} x +  \frac{9}{4}  =  \frac{1}{2} x +  \frac{2}{2}

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x =  \frac{ - 5}{ - 5}

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Michael took in 91 mile bike trip. he left home at 7 AM. If he stopped for a total of two hours for rest and food and averaged 1
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