A window frame has a length of (5x + 3) inches and a width of (x + 6) inches. The area of the glass in the window is (4x2 + 26x + 15) square inches.
2 answers:
Answer:
x^2 + 7x + 3 in^2.
Step-by-step explanation:
The area of the whole frame = (5x + 3)(x + 6)
= 5x^2 + 33x + 18
So the area of the rim = 5x^2 + 33x + 18 - (4x^2 + 26x + 15)
= x^2 + 7x + 3 in^2.
Answer:
The trim area is x² + 7x + 3.
Step-by-step explanation:
First determine the area of the window frame. Then subtract the given glass area. The remainder is the area of the trim.
Area of window frame: (5x + 3)(x + 6) = 5x² + 33x + 18
Area of glass; 4x² + 26x + 15
Subtracting the glass area from the frame area, we get:
x² + 7x + 3
The trim area is x² + 7x + 3.
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