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5. River is placing new fencing around her garden, which is shaped like a square. Each side measures [tex]11 \frac{3}{4}[/tex] feet. How many feet of fencing does River need?

6. A teacher is placing a border around the classroom bulletin board, which measures [tex]30 \frac{5}{8}[/tex] inches long by [tex]24 \frac{1}{4}[/tex] inches wide. What is the length of the border?

7. Taylor is making a rectangular quilt. He wants to sew ribbon around all sides of the quilt, which measures [tex]70 \frac{3}{8}[/tex] inches by [tex]42 \frac{1}{4}[/tex] inches. How much ribbon does he need?

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!

Thanks for taking the time to read 5 River is placing new fencing around her garden which is shaped like a square Each side measures tex 11 frac 3 4 tex feet. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!

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