The perimeter of the kitchen is 528 inches if the width of the kitchen is 120 inches what is the length of the kitchen

Mathematics

1 answer:

butalik [34]3 years ago

7 0

Answer: 144 inches.

Step-by-step explanation:

1. To solve this problem you must remember the formula for calculate the perimeter of a rectangle, which is shown below:

$P=2l+2w$

Where $l$ is the lenght and $w$ is the width.

2. You know the perimeter and the width, then you can solve for the length, as following:

$P-2w=2l\\l=\frac{P-2w}{2}\\l=\frac{(528in)-(2*120in))}{2}\\l=144in$

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Answer: The answer is $\textup{W}=70+30x.$

Step-by-step explanation: Given that Rei is barricading a door to stop a horde of zombies by satcking boxes of books on a table in front of the door.

The weight of each box is 30 kilograms and the weight of the table with 8 boxes on the top is 310 kilograms.

So, if 'g' denotes the weight of the table alone, then we have

$\textup{g}+8\times 30=310\\\\\Rightarrow \textup{g}+240=310\\\\\Rightarrow \textup{g}=310-240\\\\\Rightarrow \textup{g}=70.$

Therefore, the weight of the table without boxes is 70 kilograms.

Now, if 'W' is the total weight of the barricade, then it can be written as a function of 'x', the number of boxes Rei stacks on the table. The expression is as follows -

$\textup{total weight of the barricade}=\textup{weight of the table alone}+30\times \textup{number of boxes}.$