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3 votes
The area of the rectangle is

(18x - 12) square inches.
Write an expression that represents the
length of the rectangle (in inches).

1 Answer

4 votes

Answer:

L = 3x - 2

P = 6x - 10

Explanation:

Area = length * width

A = l*w

so if the width is 6 inches we can say w = 6

and we can say that l = to the length of the rectangle

if we substitute this:

(18x - 12) = l * 6

we get the answer l = 3x - 2 since we divide both sides by 6.

the expression for length of the rectangle is -> l = 3x - 2

for the perimeter:

P = 2(l + w)

if we substitute this:

P = 2(3x - 2) + 6

distributive property:

P = 2(3x) - 2(2) + 6

then would be:

P = 6x - 4 + 6

(combine like terms) -> P = 6x - (4 + 6)

then you would get: P = 6x - 10

which can also be writtern as -> P = 6x + (-10)

but this is not simplified so you would just write it as 6x - 10

Hope this helps, and hope this was the answer you were looking for. Thank you. Sorry if this does not help

User ArtBelch
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