Square - increase sides

If we increase the length of one pair of opposite sides of the square by 2 cm and the length of the other two sides by 1 cm, we will create a rectangle, the perimeter of which will be 10% larger than the perimeter of the original square. What is the side length of this square?

Correct answer:

a =  15 cm

Step-by-step explanation:

r=100%+10%=1+10010=1.1  2(a+2)+2(a+1)=r 4a 2(a+2)+2(a+1)=1.1 4a  2 (a+2)+2 (a+1)=1.1 4 a  0.4a=6  a=0.46=15  a=15=15 cm



Did you find an error or inaccuracy? Feel free to write us. Thank you!







Tips for related online calculators
Our percentage calculator will help you quickly and easily solve a variety of common percentage-related problems.
Do you have a linear equation or system of equations and are looking for its solution? Or do you have a quadratic equation?
Do you want to convert length units?

You need to know the following knowledge to solve this word math problem:

algebraplanimetricsbasic operations and conceptsUnits of physical quantitiesGrade of the word problem

 
We encourage you to watch this tutorial video on this math problem: video1

Related math problems and questions: