A publishing company is creating a book jacket for a newly published textbook. Determine the area of the book jacket, given that the front cover is 8 in wide by 11 in high, the binding is 1.5 in by 11 in and the jacket can extend 2 inches inside the front and rear covers.
a. 236.5 in2
b. 192.5 in2
c. 188 in2
d. 232 in2
a. The area of the front cover is width times length or (8)(11) = 88 in2. The rear cover is the similar as the front, 88 in2. The area of the binding is length times width or (1.5)(11) = 16.5 in2. The extension inside the front cover is length times width or (2)(11) = 22 in2. The extension inside the rear cover is also 22 in2. The total area is the addition of all previous areas or 88 in2 + 88 in2 + 16.5 in2 + 22 in2 + 22 in2 or 236.5 in2. If you select b, you did not evaluate the extensions inside the front and rear covers. If you select c, you miscalculated the area of the binding as (1.5)(8) and omitted the extensions inside the rear and front covers. If you select d, you miscalculated the area of the binding as (1.5)(8) only.