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What is the perimeter of the resulting square?
The perimeter of a rectangle is 26 cm. The rectangle is converted to a square by tripling the width and taking a quarter of the length.  



A. 12 cm
B. 20 cm
C. 9 cm
D. 26 cm

This question is part of ECT MATHEMATICS
Asked by Jandee_ece, Last updated: Feb 20, 2020

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2 Answers

E. Stanley

E. Stanley, Technical writer, Indianapolis

Answered Jul 17, 2018

The perimeter of a shape is basically the length of its outline. The question gives the perimeter of a rectangle as 26 cm. solving for the equation to come to a relatively relatable expression we get width + length = 13 cm now we have to quarter the length and triple the width.

By simply substituting these values in their respective positions in the equation we get two equations. Then cancelling out the lengths we can get a simplified equation w = 12 cm. this simply gives the answer to the complex question which needed algebra rules to find the accurate answer.

 

jandee_ece

Jandee_ece

Answered Feb 13, 2018

12 cm

Perimeter of rectangle = 26 cm => 2W + 2L = 26 => W + L = 13 For the square , 1/4 L = 3W => L = 12W But we have, W + L = 13 => W + 12W = 13 => 13W = 13 => W = 1 Perimeter of square = 4 x 3W = 12W = 12cm
 

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