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Anit [1.1K]
2 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]2 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]2 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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1. What is an equation of the line through (3, 12) with slope = 3?​
mafiozo [28]

Answer:

see below

Step-by-step explanation:

We can use point slope form

y - y1 = m(x-x1)

where m is the slope and ( x1,y1) is a point on the line

y-12 = 3(x-12)

If we want it in slope intercept form

Distribute

y-12 = 3x-36

Add 12 to each side

y-12+12 = 3x-36+12

y = 3x-24

8 0
3 years ago
Q. If A is a square matrix such that A² = A, then write the value of 7 A −(I + A)³, where I is an identity matrix.​
andriy [413]

Answer:

7A−(I + A)³

=7A−(1³ + A³ +3.I.A² +3.1².A)

=7A−(I+ A².A+3A² +34)

= 7A-(I+A.A+3A+34) (*: A² = A)

=7A-(I+ A² +6A)

= 7A-(I+A+64)

=7A-(1+7A)

=7A-I-7A

=-1

6 0
2 years ago
one tube of maybelline great lash mascara is sold every 2.7 seconds. how many tubes are sold in a half of a day. round to the ne
natka813 [3]
I got 16,000 tubes are sold in half a day because there are 720 minutes in 12 hours, and 43,200 seconds in 720 minutes then you divide by 2.7 and get 16,000
3 0
3 years ago
How many fourth-fifths are in eight
Elenna [48]

Answer:

10

Step-by-step explanation:

8 ÷ 4/5 = 10

I hope this helps!!

7 0
2 years ago
Mr. Wilson wants to park his car in his parking garage. To find the cost, he uses the equation D= 3H+6, where D represents the t
charle [14.2K]

Answer: 8\ hours

Step-by-step explanation:

You know that Mr. Wilson uses the following equation to find the cost:

D= 3H+6

Then, if Mr. Wilson spent $30, you can follow these steps in order to calculate how many hours he parked in the parking garage:

1. You need to substitute D=30 into the given equation:

30= 3H+6

2. Now, you must solve for "H":

30= 3H+6\\\\30-6=3H\\\\24=3H\\\\\frac{24}{3}=H\\\\H=8

Therefore, based on the result, you can conclude that Mr. Wilson parked his car in the parking garage for 8 hours.

7 0
3 years ago
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