Scratchpad

Fabian needs 45 square feet of posterboard for an art project. He buys a sheet of posterboard with a length of

30 inches and a width of 2 feet. Which option correctly explains why this is enough posterboard for the project?

A

Yes, he will have enough posterboard because 2 x 12 = 24 inches. Then, 24 x 30 = 720 square inches,

and 720 = 60 square feet.

B

Yes, he will have enough posterboard because 10 = 2.5 feet. Then, 2.5 x 2 = 5 square feet.

C Yes, he will have enough posterboard because 39 = 2.5 feet. Then, 2.5 + 2 = 4.5 square feet.

D Yes, he will have enough posterboard because 30 x 2 = 60 square inches. Then, 99 = 5 square feet.

The correct option is option (B)

Yes, he will have enough poster board because 10 = 2.5 feet. Then, 2.5 x 2 = 5 square feet .

Step-by-step explanation:

1 foot = 12 inches.

Fabian needs 45 square feet of poster board for an art.

Actually, the area of the poster is 4.5  square feet.

[Since the unit of 4.5 is  square feet, so it is unit of area.]

He buys a sheet of poster board with length 30 inches and a width 2 feet.

The units of length and width are not same.

So, first we need to convert the width in inches.

The length of the sheet is = 30 inches

                                         =(30÷12) inches

                                         =2.5 feet.

Total area of the sheet = length×width

                                      =(2.5×2) square feet

                                      = 5 square feet

So, the area of sheet is more than the area of poster.

Yes, he will have enough poster board because 10 = 2.5 feet. Then, 2.5 x 2 = 5 square feet .                                      

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arrange the equations with like terms in columns.

analyze the coefficients of x or y.

add the equations and solve for the remaining variable.

substitute the value into either equation and solve.

check the solution.

step-by-step explanation: