ANSWER
the area of the trim around the glass in the window is option ( D)
i.e (x²+7x+3)
REASON
As given in the question
A window frame has a length of (5x+3) inches an a width of (x+6) inches.
As the shape of the window in the form of rectangle.
Formula
Area of the rectangle = length × breadth
put the value in the above equation
we get
Area of window = (5x+3)× ( x + 6)
= 5x² + 33x + 18 inches²
As given in the question
The area of the glass in the window is (4x²+26x+15) square inches.
Area trim around the glass in the window = area of the window - area of the glass.
put the value
we get
= ( 5x² + 33x + 18 ) - ( 4x²+26x+15)
= 1x²+ 7x + 3 inches²
therefore the correct option is (D)
Hence proved
