Answer:
We can rewrite this expression like this:
And we can use the quadratic formula given by:
Where
And replacing we got:
And solving we got:
And since the value can't be negative the answer would be x = 32.75 and the value of y = 32.75+10 =42.75
Step-by-step explanation:
For this case we know that we have a rectangular playground and the area can be founded with this formula:
Where x represent the width and y the length. From the problem we know that A =1400 m^2 and the heigth is 10m longer than the wide so we can write this condition as:
And replacing this formula into the area we got:
We can rewrite this expression like this:
And we can use the quadratic formula given by:
Where
And replacing we got:
And solving we got:
And since the value can't be negative the answer would be x = 32.75 and the value of y = 32.75+10 =42.75