Rectangle - sides 3

If in the rectangle ABCD, we enlarge side a by 5 cm and decrease side b by 2 cm, the rectangle area will be reduced by 5 cm². When we decrease the length of side a by 4 cm, and at the same time we increase the length of side b by 3 cm, we increase the area of the original rectangle by 5 cm². Calculate the length of the sides of the rectangle ABCD.

Correct answer:

a =  15 cm
b =  7 cm

Step-by-step explanation:

(a+5) (b2)=a b5 (a4) (b+3)=a b+5  2a5b=5 3a4b=17  Pivot:Row1Row2 3a4b=17 2a5b=5  Row232 Row1Row2 3a4b=17 2.33b=16.33  b=2.3333333316.33333333=7 a=317+4b=317+4 7=15=15 cm  a=15 b=7



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







Tips for related online calculators
Do you have a system of equations and looking for calculator system of linear equations?

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


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

Related math problems and questions: