Question

Please provide explanation.

Answer 1

100 square meters

Explanation:

`{x}^(2) + 6x + 8x = 240`

`{x}^(2) + 14x = 240`

`{x}^(2) + 14x - 240 = 0`

`(x - 10)(x + 24) = 0`

`x = 10`

x = -24 will not work (it is extraneous).

`{x}^(2) = 100`

So the area of the square region is 100 square meters.