174k views
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
by
7.1k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.