Question

A rectangular photograph is mounted on a square piece of cardboard who sides have lenght of x. The border that surrounds the photo is 3 inches on each side and 4 inches on both the top and bottom. Which of the following expressions represents the area of the photograph? SELECT ALL THAT APPLY.
a) x^2
b) (x+8)(x+6)
c) (x-8)(x-6)
d) x^2+48
e) x^2-48
f) x^2+14x+48
g) x^2-14x+48

Answer 1

Refer to the diagram below

The length of the rectangular picture is $x - 6$
The width of the rectangular picture is $x-8$

The area of the picture is 
$Area = l*w$
$Area=(x-8)(x-6)$
$Area= x^2-6x-8x+48$
$Area = x^2-14x+48$

Answers: Option C and option G