A rectangular playground is 10m longer than it is wide. The area of the playground is 1400m² Calculate the width and length of the playground. solve using quadratic formula please?

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

-7

step-by-step explanation:

x^2 + 18x + 74 = (x + 9)^2 - 81 + 74

= (x + 9)^2 - 7.

so q = -7.