PLEASE HELP. 18 pointsYou design a frame to surround a rectangular photo. The width of the frame is the same on every side as shown. write a polynomial in standard form that represents the combined area of the photo in the frame. find the combined area of the photo in the frame when the width of the frame is 4 inches.
Answers
Length of the rectangular photo = 22 inches
Width of the rectangular photo = 20 inches
Since, width of the frame outside the photo = x inches
Therefore, increase in length and width of the photo with frame = (x + x)
= 2x inches
Length of the photo with frame = (22 + 2x) inches
Width of the photo with frame = (20 + 2x) inches
Combined Area of the photo in the frame = Length × Width
= (22 + 2x)(20 + 2x)
= 22(20 + 2x) + 2x(20 + 2x)
= 440 + 44x + 40x + 4x²
= 4x² + 84x + 440
Therefore, polynomial representing the combined area of the photo in the frame will be (4x² + 84x + 440) square inches.
If width of the frame = 4 inches
Combined area of the photo = 4(4)² + 84(4) + 440
= 840 square inches
Learn more,
Answer:
A is 4x^2+84x+440 and B=840 square inches
Step-by-step explanation:
A is 4x^2+84x+440 and B=840 square inches
The task for a is to write a polynomial in standard form that represents the combined area of the photo and the frame. First, lets start with the bottom of the picture and frame. On the bottom, you have 2x+ 22 inches. Then the side of the picture and frame is 2x+20 inches. Writing in polynomial form, it would be (2x+22)(2x+20). You would get 4x^2+84x+440 since you are using the FOIL method. Now for part b, we know that the width of the frame(or x) is 4 inches. Now we plug that into the equation. 84x is 84x4. 84x4=336 x^2 is 16. There are four of those as you can see in the equation so 16x4=64
336+64=400 inches Frame= 400 inches
400 inches plus the picture(440 inches) = 840 square inches.
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Final answer:
To convert weights from pounds to kilograms, multiply the weight in pounds by 0.4536. Therefore, a boy who weighs 55 pounds weighs approximately 24.948 kilograms.
Explanation:
To convert the boy's weight from pounds to kilograms, we need to know the conversion factor. 1 pound (lb) is equivalent to approximately 0.4536 kilograms (kg).
Hence, if a boy weighs 55 pounds, his weight in kilograms will be calculated as:
55 pounds * 0.4536 kg/pound = 24.948 kg.
So, the boy weighs approximately 24.948 kg. Note that our final answer is rounded to the third decimal place for precision.
Learn more about Weight conversion here:
#SPJ3
He weight 24.94 kilograms
or 25 kilograms
I hope that's help !