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Pre-algebra

Ron Larson, Laurie Boswell, Timothy D. Kanold, Lee Stiff

$Math Studyset Vaia Explanations$ Math

Common Core Edition · 183 pages

ISBN: 9780547587776

Chapter 3: Q.3 (page 164)

Find the perimeter of the square.

Short Answer

Expert verified

The perimeter of the square is $28 u n i t$ .

Step by step solution

01

Step 1. Apply the formula of perimeter of square

In this, use the formula of perimeter of square that is $P e r i m e t e r = 4 \times s i d e$ and also know the concept that all the sides of square is equal.

02

Step 2. Finding the length of sides of square

Since, the two sides of the square are $49 - 4 x & 3 x$ .

It is known that the sides of the square are equal. So,

$\begin{array}{l} 49 - 4 x = 3 x \\ 49 = 4 x + 3 x \\ 7 x = 49 \\ x = \frac{49}{7} \\ x = 7 \end{array}$

03

Step 3. Finding the perimeter of the square

Since, the length is $x = 7$ .

$\begin{array}{l} P e r i m e t e r = 4 \times s i d e \\ P e r i m e t e r = 4 \times 7 \\ P e r i m e t e r = 28 u n i t \end{array}$

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