The farmer decided that he ordered enough planks for an arena that measured 115 1/4 ft by 63 1/2 ft. Is he correct? Explain. What questions do you need to answer this question? Please help

Step-by-step explanation:

The question we need to answer is what total length of plank did the farmer ordered for the arena.

to solve for the length of plank to cover the arena we need to solve for the perimeter of the arena.

given data

length L= 115 1/4 ft = 115.25ft

width W= 63 1/2 = 63.5ft

perimeter= 2L+2W

perimeter= 2(115.25)+2(63.5)

perimeter= 230.5+127

perimeter= 357.5ft

This means that the farmer ordered a total length of 357.5ft of plank

let's call the solutions x₁ = (5 - 2√7)/3 and x₂ = (5 + 2√7)/3

then the equation is (x-x₁)(x-x₂) = 0

if you fill that in you get a lot of numbers which you can recognize as ax²+bx+c=0.

step-by-step explanation:

you can see that a=1 (there is just an x²)

b = (-5 -2√7 + 2√7 - 5)/3 = -10/3

c = -2√7)/3 ) * (-5+2√7)/3) = -1/3

so your answer is 3x^2 – 10x – 1 = 0

third choice down

step-by-step explanation:

the first inequality is based on the number of adults and campers, and the second inequality is based on the cost of feeding both the adult and the camper.

we know that there is room for 525 people max.   it's ok to have less than 525, but it's not ok to have more than 525, so the inequality is less than or equal to.   the number combination of adults (x) and campers (y) cannot exceed this 525 max.   therefore:

x + y ≤ 525

now we talk about cost.   it costs $9 to feed one adult, so depending upon the number of adults you have (x) depends upon how much it will cost to feed that number of adults.   same with the campers, who cost $5 to feed.   the adults can be represented by 9x and the campers can be represented by 5y.   since the budget cannot exceed 1,200, the second inequality is:

9x + 5y ≤ 1200