Suppose the initial length of the rectangle is a.
In this case, we write the width as in.
The area of the rectangle will be equal to: a * b.
after its length increases by 30%, it will be: a + 30% = 1.3 * a.
The new width will be: in – 30% = 0.7 * in.
This means the area of the new rectangle:
1.3 * a * 0.7 * b = 0.91 * a * b.
From this it follows that the area will change to:
a * b – 0.91 * a * b = 0.09.
When converted to interest, it will be:
0.09 * 100% = 9%.
Answer: The area will decrease by 9% from the initial one.
One of the components of a person's success in our time is receiving modern high-quality education, mastering the knowledge, skills and abilities necessary for life in society. A person today needs to study almost all his life, mastering everything new and new, acquiring the necessary professional qualities.