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evablogger [386]
2 years ago
13

Dylan uses the expressions (x^2 -2x+8) and (2x^2 + 5x - 7) to represent the length and width of his bedroom. Which expression re

presents the area (lw) of Dylan’s room ?
Mathematics
2 answers:
Oksanka [162]2 years ago
5 0

2x^4 + x^3 - x^2 +54x - 56 expression represents the area of Dylan’s room

<h3><u>Solution:</u></h3>

Given that,

Length of room = x^2 -2x+8

Width of room = 2x^2 + 5x - 7

To find: Expression that the area (lw) of Dylan’s room

Since bedroom is generally of rectangular shape, we can use area of rectangle

<em><u>The area of rectangle is given as:</u></em>

\text {area of rectangle }=\text { length } \times \text { width }

Substituting the given expressions of length and width,

area = (x^2 -2x+8)(2x^2 + 5x - 7)

We multiply each term inside first parenthesis with each term inside the second parenthesis.

So it becomes,

2x^4 + 5x^3 - 7x^2 -4x^3 -10x^2 +14x +16x^2 +40x - 56

Now combine like terms,

2x^4 + x^3 - x^2 +54x - 56

Thus the above expression represents the area of Dylan’s room

Margaret [11]2 years ago
5 0

Answer:

c

Step-by-step explanation:

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