Think of the three rectangles as a single large rectangle and find its area.
For the large rectangle made up of the three small rectangles:
Length = 8 cm + 15 cm + 17 cm = 40 cm
Width = 11 cm
area = length * width
area = 40 cm * 11 cm
area = 440 cm^2


The Lagrangian is

with partial derivatives (all set equal to 0)

for
, and

Substituting each
into the second sum gives

Then we get two critical points,

or

At these points we get a value of
, i.e. a maximum value of
and a minimum value of
.
Answer:
1230 I believe I think area is when u add em all up that's what I did good luck
Answer:
The sample size required is 102.
Step-by-step explanation:
The (1 - <em>α</em>)% confidence interval for population mean <em>μ</em> is:

The margin of error for this interval is:

Given:
<em>σ</em> = 9.2
(1 - <em>α</em>)% = 90%
MOE = 1.5
The critical value of <em>z</em> for 90% confidence level is:

*Use a <em>z</em>-table.
Compute the value of <em>n</em> as follows:

![n=[\frac{z_{\alpha/2}\times \sigma}{MOE}]^{2}](https://tex.z-dn.net/?f=n%3D%5B%5Cfrac%7Bz_%7B%5Calpha%2F2%7D%5Ctimes%20%5Csigma%7D%7BMOE%7D%5D%5E%7B2%7D)
![=[\frac{1.645\times 9.2}{1.5}]^{2}\\=101.795\\\approx102](https://tex.z-dn.net/?f=%3D%5B%5Cfrac%7B1.645%5Ctimes%209.2%7D%7B1.5%7D%5D%5E%7B2%7D%5C%5C%3D101.795%5C%5C%5Capprox102)
Thus, the sample size required is 102.