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Elementary Algebra

Lynn Marecek, MaryAnne Anthony-Smith

$Math Studyset Vaia Explanations$ Math

2nd Edition · 1240 pages

ISBN: 9780998625713

Chapter 3: Q. 3.88 (page 368)

Find the length of a rectangle with: perimeter 30 and width 6.

Short Answer

Expert verified

The length of the rectangle is 9.

Step by step solution

01

Step 1. Given information

The perimeter of the rectangle is, $P = 30$ .

The width of the rectangle is, $w = 6$ .

We need to find the length, l of the rectangle.

02

Step 2. Use the formula for the perimeter of the rectangle.

The perimeter of the rectangle is, $P = 2 (l + w)$ .

We get

$\frac{P}{2} = l + w \frac{P}{2} - w = l l = \frac{P}{2} - w$

03

Step 3. Substitute the values in l=P2-w.

We get

$l = \frac{30}{2} - 6 = 15 - 6 = 9$

The length of the rectangle is 9.

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