Question

Wednesday Math Problem Alisson is making a frame for a photo that has an area of 48 square inches and a width of 8 inches. If she wants to decorate the frame by wrapping a ribbon around the photo three times, how many inches of ribbon does she need?

Answer 1

84 inches of ribbon

Explanation:

We are asked to find how much ribbon she needs if she wants to wrap it around the perimeter 3 times.

So, this means we have to find the perimeter.

In order to find the perimeter, we first have to find the length, as we are already given the width.

To find the length, let's use the area formula:

`A=lw`

48=x(8)

divide both sides by 8

6=x

So, the length is 6 inches.

Next, we need to find the perimeter. We can do this by using the perimeter formula:

`P=2(l+w)\\P=2(8+6)\\P=2(14)\\P=28`

So, we know the perimeter is 28 inches. Finally, we multiply it by 3 because she wants to wrap it 3 times.

28·3

=84

So, she needs 84 inches of ribbon.

Hope this helps! :)

Answer 2

She needs 84 inches of ribbon.

Explanation:

We know the area and the width. Let's find the length of the frame.

area = L x W

48 = L x 8

48/8 = L

L = 6

So the length = 6

Now let's find the perimeter.

Perimeter = 2L + 2W

Perimeter = 2(6) + 2(8)

Perimeter = 12 + 16 = 28 inches

We want to wrap it 3 times, so 3 times the perimeter.

3 x 28 = 84 inches. She needs 84 inches of ribbon.