Question

A rectangular photograph is mounted on a square piece of cardboard with sides have a link ex 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 check all that apply

Answer 1

Answer:

The ares in factorised form is C. (x-8)(x-6)

When expanded it is G. x^2-14x+48

Step-by-step explanation:

The rectangular photo is mounted on a piece of board whose sides have length x. The border that surrounds the photo is 3 inches on each side and 4 inches on both the top and the bottom.

Area of rectangle  is length × breadth

Length of rectangle (x - 4 - 4) = (x - 8) inches

Breadth of rectangle (x -3 - 3) = (x -6) inches

Thus, area of photograph  = (x - 8)(x -6) inches².

Expanding it by opening the bracket

x(x-6)-8(x-6)= x^2-6x-8x+48=x^2-14x+48

Thus; C and G is correct