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Express Using Algebra

What is the length of a rectangle whose perimeter is P, if the width is 6?

User Lyslim
by
7.8k points

2 Answers

5 votes

Answer:

l = P/2 - 6

Explanation:

The perimeter of a rectangle is 2*length + 2* width, or 2l + 2w.

So, the equation is P = 2l + 2*6. This simplifies to P = 2l + 12.

To isolate l, you subtract 12 from both sides, and divide both sides by 2.

This will look like
l = (P)/(2) - 6
.

User Robertbasic
by
8.5k points
4 votes

Answer:

(P-12)/2 = L

Explanation:

1. Start off with an equation in terms of perimeter

P = (2)(6) + (2)(L)

2. Multiply the two and the six

P = 12+ (2)(L)

3. Move the terms around so only "L" is on one side

(P-12)/2 = L

hope this helped :)

User Junwoo
by
7.2k points