Area of a rectangular barnyard: A=6x^2+7x-20
A=6(6x^2+7x-20)/6
A=[(6^2)(x^2)+7(6x)-120]/6
A=[(6x)^2+7(6x)-120]/6
A=(6x+15)(6x-8)/6
A=(6x+15)(6x-8)/[(3)(2)]
A=(6x/3+15/3)(6x/2-8/2)
A=(2x+5)(3x-4)
A=bh
b=2x+5; h=3x-4
Answer: The possible dimensions of the barnyard are 2x+5 and 3x-4
It would belong to integers, rational, and real numbers.
The slope intercept form of that equation would be y = 1/2x + 1. 1 would be the y-intercept, and 1/2 would be the slope. If you are looking for the answers to y and x, you would need another equation containing those variables to figure that out.
we are given

Firstly, we will find all possible factors of 144

we can also write as

now, we can put exponent to over entire term

now, we can replace 144

now, sqrt will get cancelled with square
and we get

now, we can simplify it

.............Answer