The width of a rectangle is the length minus 7 units. The area of the rectangle is 8 units. What is the length, in units, of the rectangle?

We can solve this problem using a system of equations. In this system of equations, let's have X = the length and Y = the width of the rectangle in question. Given this and the information above, we can write out the following two relationships:  

Equation 1: X * Y = 8 units

Equation 2: X - 7 = Y

We can draw these two relationships based upon the area data given for the rectangle and the relationship between the width and length. Plugging the value of Y from equation 2 into equation 1, we can isolate one variable, X, and solve for it:  

X * (X - 7) = 8.   Substituted equation 1

X^2 - 7X = 8 After being multiplied-out  

0 = X^2 - 7X - 8 After moving all terms to one side of the equation

0 = (X - 8) * (X + 1) After factoring the equation

X = 8, -1 Solve for X by finding an X that would make the equation true (equal to 0)

Now that we have solved for X, we have to possibilities for what X could be, however a length cannot be negative and this tells us that it must be 8 units, the other option. Plugging the value for X back into the original equation 2, we solve for Y:  

Equation 2: X - 7 = Y → 8 - 7 = Y = 1

Now that we see that Y = 1 units, we can check our solution by plugging it back into the area equation established earlier:  

Equation 1: X * Y = 8 units

Because X = 8 and Y = 1, this equation is satisfied and we know that we have the correct result.  

Final width = 1 unit, length = 8 units

Step-by-step explanation:

hope it helps

6,250

step-by-step explanation:

to get the area, multiply 360 by 160.(57,600)

to find out how many bags of fertilizer it will take, first figure out how many square feet one bag can hold. divide 1000 by 8(125) to get the unit rate(how many square feet one pound of fertilizer can hold)and multiply it by 50(6250). if i haven't made a mistake, that is the answer.