Answer:
The area of the remaining paperboard = 644.67in²
Explanations:
The length of the rectangular paperboard = 35 in
The width of the rectangular paperboard = 26 in
Area = Length x Width
The area of the rectangular paperboard = 35 x 26
The area of the rectangular paperboard = 910 in²
The diameter of the semicircle cut, d = 26 in
Area of a semicircle = πd²/8
where π = 3.14
The area of the semicircle cut = (3.14 x 26²)/8
The area of the semicircle cut = 265.33 in²
The area of the remaining paperboard = (Area of the rectangular paperboard) - (Area of the semicircular cut)
The area of the remaining paperboard = 910in² - 265.33in²
The area of the remaining paperboard = 644.67in²