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Answer :
Sure! Let's solve each problem step-by-step:
5. Fencing Around River's Garden:
- River's garden is shaped like a square, meaning all sides are of equal length.
- Each side of the square garden measures [tex]\(11 \frac{3}{4}\)[/tex] feet.
- To find the total amount of fencing needed, we need to calculate the perimeter of the square, which is the sum of all four sides.
- Perimeter of a square formula:
[tex]\[
\text{Perimeter} = 4 \times \text{side length}
\][/tex]
- Calculate the perimeter:
[tex]\[
\text{Perimeter} = 4 \times 11.75 = 47.0 \text{ feet}
\][/tex]
So, River needs 47 feet of fencing.
6. Border Around the Classroom Bulletin Board:
- The bulletin board is a rectangle with a length of [tex]\(30 \frac{5}{8}\)[/tex] inches and a width of [tex]\(24 \frac{1}{4}\)[/tex] inches.
- To find the total length of the border, we calculate the perimeter of the rectangle.
- Perimeter of a rectangle formula:
[tex]\[
\text{Perimeter} = 2 \times (\text{length} + \text{width})
\][/tex]
- Calculate the perimeter:
[tex]\[
\text{Perimeter} = 2 \times (30.625 + 24.25) = 109.75 \text{ inches}
\][/tex]
So, the teacher needs 109.75 inches of border.
7. Ribbon Around Taylor's Quilt:
- The quilt is a rectangle with a length of [tex]\(70 \frac{3}{8}\)[/tex] inches and a width of [tex]\(42 \frac{1}{4}\)[/tex] inches.
- To find the total amount of ribbon needed, we calculate the perimeter of the rectangle.
- Perimeter of a rectangle formula:
[tex]\[
\text{Perimeter} = 2 \times (\text{length} + \text{width})
\][/tex]
- Calculate the perimeter:
[tex]\[
\text{Perimeter} = 2 \times (70.375 + 42.25) = 225.25 \text{ inches}
\][/tex]
So, Taylor needs 225.25 inches of ribbon.
I hope this helps in understanding how to calculate perimeters for these different shapes!
5. Fencing Around River's Garden:
- River's garden is shaped like a square, meaning all sides are of equal length.
- Each side of the square garden measures [tex]\(11 \frac{3}{4}\)[/tex] feet.
- To find the total amount of fencing needed, we need to calculate the perimeter of the square, which is the sum of all four sides.
- Perimeter of a square formula:
[tex]\[
\text{Perimeter} = 4 \times \text{side length}
\][/tex]
- Calculate the perimeter:
[tex]\[
\text{Perimeter} = 4 \times 11.75 = 47.0 \text{ feet}
\][/tex]
So, River needs 47 feet of fencing.
6. Border Around the Classroom Bulletin Board:
- The bulletin board is a rectangle with a length of [tex]\(30 \frac{5}{8}\)[/tex] inches and a width of [tex]\(24 \frac{1}{4}\)[/tex] inches.
- To find the total length of the border, we calculate the perimeter of the rectangle.
- Perimeter of a rectangle formula:
[tex]\[
\text{Perimeter} = 2 \times (\text{length} + \text{width})
\][/tex]
- Calculate the perimeter:
[tex]\[
\text{Perimeter} = 2 \times (30.625 + 24.25) = 109.75 \text{ inches}
\][/tex]
So, the teacher needs 109.75 inches of border.
7. Ribbon Around Taylor's Quilt:
- The quilt is a rectangle with a length of [tex]\(70 \frac{3}{8}\)[/tex] inches and a width of [tex]\(42 \frac{1}{4}\)[/tex] inches.
- To find the total amount of ribbon needed, we calculate the perimeter of the rectangle.
- Perimeter of a rectangle formula:
[tex]\[
\text{Perimeter} = 2 \times (\text{length} + \text{width})
\][/tex]
- Calculate the perimeter:
[tex]\[
\text{Perimeter} = 2 \times (70.375 + 42.25) = 225.25 \text{ inches}
\][/tex]
So, Taylor needs 225.25 inches of ribbon.
I hope this helps in understanding how to calculate perimeters for these different shapes!
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