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Elden [556K]
3 years ago
9

The length of a rectangle is 3 more inches than the width. Find the length and width of the rectangle. The perimeter of the rect

angle is 54 Inches. Write an equation that represents the situation. Explain any variable used.
Mathematics
1 answer:
Elina [12.6K]3 years ago
6 0

<em>Answer:</em>

<em>Width is 8 and the Length is 19.</em>

<em>Step-by-step explanation:</em>

<em> x = width </em>

<em>2x + 3 = length {length is 3 more than twice width}  </em>

<em>Perimeter of a rectangle is 2(width) + 2(length)  </em>

<em> </em>

<em> 2x + 2(2x + 3) = 54 {perimeter = 2(width) + 2(length)} </em>

<em>2x + 4x + 6 = 54 (used distributive property)</em>

<em>6x + 6 = 54 (combined like terms) </em>

<em>6x = 48 (subtracted 6 from both sides)</em>

<em>x = 8 (divided both sides by 6)</em>

<em>2x + 3 = 19 (substituted 8, in for x, into 2x + 3)</em>

<em> </em>

<em>The width = 8 and length = 19</em>

<em>Best of luck,</em>

<em>Echy~</em>

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