Arectangular room must have a maximum area of 84 square feet. if the room is to be 8 feet wide, what is the longest the room can be?

10.4
10.5
10.6

10.5 feet

Length=Area/Width

Total area = 84 Square Feet
Total width = 8 feet

Length = 84/8

Hence Length of room is 10.5 feet

Answer = 10.5 feet long

the smallest possible measurement of the width is 14 feet

step-by-step explanation:

let's assume length of parallelogram is 'l'

width of parallelogram is 'w'

the perimeter of a parallelogram must be no less than 40 feet

so, we get

we are given

length of parallelogram is 6 feet

so,

l=6

we can plug it

now, we can solve for w

subtract both sides by 12

divide both sides by 2

and we get

so,

the smallest possible measurement of the width is 14 feet