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

Respuesta :

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.

The area of the frame if the frame is 1 inch thick will be 30 inch².The area of the frame is found as the product of the length and breadth of the frame.

What is the area?

The space filled by a flat form or the surface of an item is known as the area.

If the  frame is 1 inch thick then the total area is found as;

The area of the rectangular picture is;

[tex]\rm A = 5 \times 8 \\\\\rm A =40 \ inch^2 \\\\[/tex]

The total area of the frame is found as;

Area of frame = Total area -  area of the picture

Area of frame =70 -40

Area of frame = 30 inch²

To learn more about the area refer to the link;

https://brainly.com/question/11952845

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