Calculated 82619

When modifying the school plot in the shape of a rectangle, the deviation was calculated if we increased the length and width of the plot by 1m and its area by 22 m2. If we reduce the length of the plot by 2m and increase its width by 1m, its area will decrease by 5m2. What is the size of the school grounds?

Correct answer:

S =  104 m2

Step-by-step explanation:

S=ab (a+1) (b+1) = S+22 (a2) (b+1) = S5  a2+2ab+b2 = ab+22 ab+a2b2 = ab5  ab+a2b2 = ab5 a2b2 =5 a = 2b3  (2b3+1) (b+1) = (2b3) b+22 2b22 = 2 b2  3 b + 22  2=3 b+22  2=3 b+22  3b=24  b=324=8  b=8  a=2 b3=2 83=13 m  S=a b=13 8=104  Verifying Solution:   S1=(a+1) (b+1)=(13+1) (8+1)=126 m2 S2=(a2) (b+1)=(132) (8+1)=99 m2

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

Tips for related online calculators
Are you looking for help with calculating roots of a quadratic equation?
Do you have a linear equation or system of equations and looking for its solution? Or do you have a quadratic equation?

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: