Question

perimeter
measuring 17 feet, 28 feet, and
if cayla is laying a brick
border around the garden, how
many feet of brick will he lay?

1. lexi walked the rectangular path

to the left. if his friend marcus
walks the trapezoidal path, how
much further did lexi walk than
marcus?

1. an iron dinner bell is in the shape

of an equilateral triangle with a
side length of 8\frac{5}{8} inches. find the
length of the rod used to create
the bell.

1. a corner cabinet has triangular

shelves with the dimensions shown
below. if the shelves are being
covered with shelving paper, what
the minimum amount of paper
needed for each shelf?

1. a wooden stage is in the shape of

a trapezoid with dimensions shown
below. what is the area of the
stage?

Explanation:

Since the image contains multiple math problems related to perimeter, area, and geometric shapes, let's solve problem 4 as an example (the iron dinner bell in the shape of an equilateral triangle with side length \( 8\frac{5}{8} \) inches, find the length of the rod used to create the bell, which is the perimeter of the equilateral triangle).

Step 1: Recall the formula for the perimeter of an equilateral triangle

The perimeter \( P \) of an equilateral triangle with side length \( s \) is given by \( P = 3s \).

Step 2: Convert the mixed number to an improper fraction

The side length \( s = 8\frac{5}{8} \) inches. To convert to an improper fraction: \( 8\frac{5}{8}=\frac{8\times8 + 5}{8}=\frac{64+5}{8}=\frac{69}{8} \) inches.

Step 3: Calculate the perimeter

Using the formula \( P = 3s \), substitute \( s=\frac{69}{8} \):
\( P = 3\times\frac{69}{8}=\frac{207}{8} \)

Step 4: Convert back to a mixed number (if needed)

\( \frac{207}{8}=25\frac{7}{8} \) inches.

Answer:

The length of the rod is \( 25\frac{7}{8} \) inches (or \( \frac{207}{8} \) inches).