Question

There is a rectangular terrain with dimensions "x" and "y". If it is known that its area of ​​is 22m ^ 2 and that x ^ 2 + y ^ 2 = 100, what is the perimeter of said terrain?

Answer 1

9514 1404 393

Answer:

24 m

Explanation:

The area formula tells us ...

22 = xy . . . . . square meters

Adding twice this to the quadratic constraint gives ...

(x^2 +y^2) +2(xy) = (100) +2(22)

(x +y)^2 = 144

x +y = √144 = 12

The perimeter is double this amount, so is ...

P = 2(x +y) = 2(12) = 24 . . . . meters