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Arte-miy333 [17]
2 years ago
12

The length of a rectangle is 6 cm more than twice its width. The sum of the length and width is 24 cm What are the dimensions of

the rectangle?
Enter your answers in the box.
Mathematics
1 answer:
eimsori [14]2 years ago
6 0

Answer:

width:6, length:18

Step-by-step explanation:

You can subsititue width with x.

The length would then be 2x+6.

The value of width and length combined is 24.

The equation would be (2x+6)+(x)=24

Simplify to 3x+6=24

Subtract 6 from both sides giving 3x=18

Simplify to x=6

There's the width. Now you can substitute to find the length.

(6x2)+6=18

I hope this is right.

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Part a) The company can not build 12 chairs and 5 tables

Part b) The company can build 18 chairs and 3 tables

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Step-by-step explanation:

we know that

If a ordered pair is a solution, then the ordered pair must be belong to the feasible region of the graph

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In this problem we have the ordered pair A(12,5)

Plot  and verify if the point belong to the feasible region of the graph

see the attached figure to better understand the problem

The point A is not on the feasible region

therefore

The company can not build 12 chairs and 5 tables

Part b) Can the company build 18 chairs and 3 tables?

In this problem we have the ordered pair B(18,3)

Plot  and verify if the point belong to the feasible region of the graph

see the attached figure to better understand the problem

The point B is on the feasible region

therefore

The company can build 18 chairs and 3 tables

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