Question

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 he needs to cut another rectangle that is 10 1/3"" x 10 1/4"" how many total square inches of construction paper does Dennis need for his project

Answer 1

Dennis need 288.91 square inches of construction paper for his project.

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

`15(1)/(4) = ((15*4) + 1)/(4) = (61)/(4)`

So the area of 1st rectangle is

`A_1 = 12* (61)/(4) = 183 \: in^(2)`

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

`10(1)/(3) = ((10*3) + 1)/(3) = (31)/(3)`

`10(1)/(4) = ((10*4) + 1)/(4) = (41)/(4)`

So the area of 2nd rectangle is

`A_2 = (31)/(3)* (41)/(4) = 105.91 \: in^(2)`

The total construction paper needed for this project is

`A = A_1 + A_2\\\\A = 183 + 105.91\\\\A = 288.91 \: in^(2)`

Therefore, Dennis need 288.91 square inches of construction paper for his project.