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Ket [755]
3 years ago
13

The area of a room is 600 square feet. The length is (x+2) feet and the width is (x+3) feet. Find the dimensions of the room

Mathematics
1 answer:
m_a_m_a [10]3 years ago
6 0
Create an equation using the formula for area of a rectangle; area = width * length
(X + 2)(x + 3) = 600
Multiply the dimensions.
X^2 + 3x + 2x +6 = 600, or simplified x^2 +5x + 6 = 600.
Subtract 600 to get the following:
X^2 + 5x - 594 = 0
Factor by x:
(X - 22)(x + 27) = 0
Solve for x
X - 22 = 0
X = 22.
Use the POSITIVE VALUE of x as you can’t have a negative area for a room.
Then substitute 22 for x to get the dimensions
(22+ 2) or 24 for length and (22+3) or 25 for width.
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Answer:

Option D is correct.

The only partial representations of the given information are the table and the graph.

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Step-by-step explanation:

Complete Question

Four representations of the same data are shown below.

- Verbal Description

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Which two representations are considered to be only partial representations?

A) the equation and the verbal description

B) the verbal description and the graph

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D) the graph and the table

Solution

A complete representation would give the total amount Stay pays in a month, given the number of minutes. There would be no domain of x (minutes charges on her phone) where there is a solution, that the complete representation wouldnt give the corresponding y (total amount of money she would pay.

Taking each of the representations one at a time.

- Verbal Description

The verbal description alone explains the subject matter to us in details. With the explanation from the verbal description, the value of y is always just there to obtain.

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The equation too, alone, will give the value of y for every given value of x. So, it is also a complete representation of the subject matter all on Its own.

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Just like the table is absent Too, the graph too cannot be attached, to avoid question deletion due to violating community guidelines. But the graph Too, on its own just shows a straight line graph of y and x, over a limited range of values. It stops after that and on its own, the graph wouldn't be able to outrightly represent the subject matter as we don't know if the relationship is linear forever, or not, from just seeing a graph of y against x over a very limited range.

Hence, it is evident that the table and the graph represent partial representations of the subject matter because, on their own, they do not provide the corresponding value of y for every given x.

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