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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: Q54. (page 146)

Find the perimeter of the square.

Short Answer

Expert verified

The perimeter of the square is $20 u n i t s$ .

Step by step solution

01

Step -1 - Apply the concept of Linear equation

In this, use the formula of perimeter of square, $P e r i m e t e r = 4 \times s i d e$ and also keep this point in mind that the all sides of squares are equal.

02

Step -2 – Find the value of x

Since,

Two sides of the square are $2 x & 3 x - 5$ .

Now, the sides of the square are equal (already known) then,

$\begin{array}{l} 2 x = 3 x - 5 \\ 2 x - 3 x = - 5 (t a k e 3 x t o l e f t s i d e) \\ - x = - 5 (c a n c e l t h e - s i g n) \\ x = 5 \end{array}$

03

Step -3 – Finding the perimeter of square.

Since, the length of the side of square, $x = 5$

Now, perimeter of square is

$\begin{array}{l} P e r i m e t e r = 4 \times s i d e \\ P e r i m e t e r = 4 \times 5 \\ P e r i m e t e r = 20 u n i t s \end{array}$

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