Answer:
Dennis need 288.91 square inches of construction paper for his project.
Step-by-step explanation:
Dennis is cutting construction paper into rectangles for a project.
He needs to cut one rectangle that is 12 inches times 15 1/4 inches
First convert the mixed fraction to improper fraction
[tex]15\frac{1}{4} = \frac{(15\times4) + 1}{4} = \frac{61}{4}[/tex]
So the area of 1st rectangle is
[tex]A_1 = 12\times \frac{61}{4} = 183 \: in^{2}[/tex]
He needs to cut another rectangle that is 10 1/3"" x 10 1/4""
The symbol " means inches
First convert the mixed fraction to improper fraction
[tex]10\frac{1}{3} = \frac{(10\times3) + 1}{3} = \frac{31}{3}[/tex]
[tex]10\frac{1}{4} = \frac{(10\times4) + 1}{4} = \frac{41}{4}[/tex]
So the area of 2nd rectangle is
[tex]A_2 = \frac{31}{3}\times \frac{41}{4} = 105.91 \: in^{2}[/tex]
The total construction paper needed for this project is
[tex]A = A_1 + A_2\\\\A = 183 + 105.91\\\\A = 288.91 \: in^{2}[/tex]
Therefore, Dennis need 288.91 square inches of construction paper for his project.
