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aleksley [76]
3 years ago
9

How to find the area of composite polygon that have a base of 16 meters height of 18 meters and a height of 11 meters.

Mathematics
1 answer:
LenaWriter [7]3 years ago
8 0

The area of the composite polygon is:

\boxed{A_{T}=376 \ m^2}

<h2>Explanation:</h2><h2 />

Hello! remember you have to write complete questions in order to get good and exact answers. Here you haven't provided any figure, so I'll choose the figure below in order to illustrate this problem. A composite polygon is a polygon that can be divided into two or more basic shapes. So here we have a composite polygon formed by a triangle and a rectangle. So:

A_{total}=A_{T} \\ \\ A_{triangle}=A_{tr} \\ \\ A_{rectangulo}=A_{r} \\ \\ \\ A_{tr}=\frac{b\times h}{2} \\ \\ b:Base \ of \ the \ triangle \\ \\ h:height \ of \ the \ triangle \\ \\ \\ A_{r}=B\times H \\ \\ B:base \ of \ the \ rectangle \\ \\ H:height \ of \ the \ rectangle

So the area of the composite figure is:

A_{T}=\frac{16\times 11}{2} + 16\times 18 \\ \\ A_{T}=88+288 \\ \\ \boxed{A_{T}=376 \ m^2}

<h2>Learn more:</h2>

Dilation: brainly.com/question/10946046

#LearnWithBrainly

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Answer:

z(max) =  256000  Php

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Step-by-step explanation:

Jogging pants design                Selling Price       Cost    

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 Design A    x₁                                     2500            1750

  Design B    x₂                                    2100            1200      

1. z ( function is : )

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First constraint weekly production

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Second constraint Budget

1750*x₁  +  1200*x₂   ≤   150000      

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z = 2500*x₁  +  2100*x₂       to maximize

Subject to

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1750*x₁  +  1200*x₂   ≤   150000  

General constraints   x₁  ≥  0           x₂   ≥ 0            both integers

First table

z           x₁           x₂        s₁       s₂      cte

1       -2500      -2100    0       0         0

0          1              1          1        0  = 120

0      1750         1200     0       1   = 150000

Using AtoZmath online solver and after 6 iterations the solution is:

z(max) =  256000  Php

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