SOLUTION: the length and width of a rectangle are consecutive even integers. the area of the rectangle is 48 square units. how long is the longest side of the rectangle?

Question 622263: the length and width of a rectangle are consecutive even integers. the area of the rectangle is 48 square units. how long is the longest side of the rectangle?
Answer by matineesuxxx(27) (Show Source): You can put this solution on YOUR website!
area of a rectangle is given by the formula
now when 2 numbers are consecutive, then if you let the smaller number be 'X' then the next number is going to be 'X+1'
so

this is a quadratic, so now you get,

now solve for the zeros. you cant have a negative length so take the positive x, then plug it into X+1
RELATED QUESTIONS
the length and the width of a rectangle are consecutive even integers. the area of the... (answered by sarah_adam)

the length and width of a rectangle are consecutive even integers. the area of the... (answered by Alan3354)

the length and the width of a rectangle are consecutive odd integers. the area of the... (answered by sarah_adam)

The length and width of a rectangle are consecutive odd integers. The area of the... (answered by edjones)

The width and the length of a rectangle are consecutive even integers. If the width is... (answered by macston)

the width, length, and diagonal of a rectangle are consecutive even integers. What are... (answered by robertb)

The length and width of two sides of a rectangle are consecutive odd integers. The area... (answered by ikleyn)

The width and the length of a rectangle are consecutive even integers. If the width is... (answered by josgarithmetic,MathTherapy)

The width, length, and diagonal of a rectangle are consecutive even integers. Find the... (answered by checkley77)