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Bonnie wants to make a picture frame for a 5 x 8-inch photo. What is the area of the frame if the...
4 months ago
Q:
Bonnie wants to make a picture frame for a 5 x 8-inch photo. What is the area of the frame if the frame is 1 inch thick? square inches
Accepted Solution
A:
Answer: 30 in^2
Explanation:
1) Measure of the picture: 5 in x 8 in
2) The frame can be splited into 4 rectangular figures:
Two of 10 in * 1 in = 2 * 10 in^2 = 20 in^2
Two of 5 in * 1 in = 2 * 5 in^2 = 10 in^2
3) The total area of the frame is 20 in^2 + 10in^2 = 30 in^2
4) You can also see that the dimensions of the picture with the frame are 10 in * 7 in, which leads to an area of 10 in * 7 in = 70 in^2.
So, if you subtract the are of the picture, you will have the are of the frame.
Area of the picture = 5 in * 8 in = 40 in^2
Area of the frame = total area - area of the picture = 70 in^2 - 40 In^2 = 30 in^2.
Which confirms the previous calculation.