Find the dimensions of a rectangle with perimeter 92 m whose area is as large as possible. (If both values are the same number, enter it into both blanks.) g

The dimension of the rectangle with perimeter 92 m whose area is as large as possible is 23m by 23m

If the perimeter of a rectangle is 92m, hence;

2(x+y) = 92

x is the length

y is the width

x + y = 46 1

If the area is as large as possible, hence;

xy = maximum 2

From equation 1, x = 46 - y

Substitute into the second equation

(46-y)y = P(y)

P(y) = 46y - y²

If the product is at the maximum, hence;

dP/dy = 46 - 2y = 0

46 - 2y = 0]

2y = 46

y = 23

Since x + y = 46

x = 46 - y

x = 46 - 23

x = 23

Hence the dimension of the rectangle with perimeter 92 m whose area is as large as possible is 23m by 23m

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The dimensions are x = 23 and y = 23

The maximum area of the rectangle  A = 529

Step-by-step explanation:

Step(i):-

Let given function area of the rectangle

                                    A = x y ....(i)

Given Perimeter of rectangle

                          2 ( x + y ) = 92

                               (x +y ) = 46

                                y = 46 - x ....(ii)

Substitute y = 46 - x in equation (i)

                             A = x (46 - x)

                            A = 46 x - x²  ....(iii)

Differentiating equation (iii) with respective to 'x'

                             ...(iv)

Step(ii):-

                       46 - 2 x = 0

                             46  = 2 x

                              x  = 23

Again Differentiating equation (iv) with respective to 'x'

The maximum value at x = 23

Step(iii):-

From(ii)

                      y = 46 - x

                     y   = 46 - 23

                   y    = 2 3

The dimensions are x = 23 and y = 23

Final answer :-

The dimensions are x = 23 and y = 23

The maximum area of the rectangle

                        A = x y

                      A = 23 ×23

                     A = 529

The maximum area of the rectangle  = 529

x > 1.3

step by step:

8.5−0.9x> 9.8−1.9x

step 1: simplify both sides of the inequality.

−0.9x+8.5> −1.9x+9.8

step 2: add 1.9x to both sides.

−0.9x+8.5+1.9x> −1.9x+9.8+1.9x

1x+8.5> 9.8

step 3: subtract 8.5 from both sides.

1x+8.5−8.5> 9.8−8.5

1x> 1.3

step 4: divide both sides by 1.

1x/1 > 1.3/1

describing distributions is one of the key skills you’ll need to earn a high score on the ap statistics exam. if you need proof of this, just flip through some past exam questions, which can be found at the collegeboard website. you’ll notice that the first free response question is almost always a question requiring you to look at a graph and describe it.

step-by-step explanation: just trying to get points sorry : (