Answer: 720 is greater than 648
Step-by-step explanation:
The required posterboard for an art project = 4 1/2 square feet
1 square foot = 144 square inches
4 1/5 × 144 square inches
= 648 square inches.
The available posterboard is with a length of 30 inches and a width of 2 feet.
One foot = 12 inches
The area of the available posterboard 30 × 2 × 12 = 780 inches
Since the available area is greater than the required area, the posterboard will therefore be enough for the project.
Answer:
It is enough because the one he purchased is 5 square feet
Step-by-step explanation:
Now, before we can go ahead to determine if the sheet will be enough, we need to first find out how many inches that make a foot since one of the dimensions of the sheet is in inches.
12 inches make 1 foot
Then, if 12 inches make a foot, we will then calculate the equivalent of 30 inches being the length of the sheet of the poster board that Fabian just purchased.
12 inches ---------- 1 foot
30 inches ---------- ? feet
30/12 × 1
= 5/2
= 2.5 feet.
Therefore, 30 inches will make 2 feet.
Now, it is clear that the length of the sheet of poster board is 2.5 feet while the width is 2 feet. If Fabian requires or needs 4 1/2 square feet (4.5 square feet) of poster board, we can then calculate if this one he bought will be enough for his project:-
The area of a rectangle = length × width/breadth.
Length = 2.5 feet
width = 2 feet
The area of this poster board is then:
2.5 × 2 = 5 square feet.
If Fabian needs 4.5 square feet sheet of poster board for his school project, it is now obvious that this one he purchased will be more than enough because he will still have 0.5 or half a square foot surplus afterwards.
