QUESTION IMAGE
Question
next step: support beams
image of a rectangular enclosure with length 22 yards and width 20 yards, and a triceratops logo; table with support structures: steel support beams (per beam): $45.00; concrete pillars (per pillar): $30.00
we also need to use the steel support beams for our fencing. beams need to be placed about 10 feet from each other, as shown on the blueprint.
how many steel beams will we need for the entire enclosure? blank
what will be the cost of the beams? $ blank
question 4
1 pts
what is the total cost for the fencing (including the beams)?
$ blank
Step1: Convert yards to feet
Since 1 yard = 3 feet:
Length: $22 \times 3 = 66$ feet
Width: $20 \times 3 = 60$ feet
Step2: Calculate perimeter of enclosure
Perimeter of rectangle: $P = 2(l + w)$
$P = 2(66 + 60) = 2(126) = 252$ feet
Step3: Find number of steel beams
Beams are 10 feet apart. Divide perimeter by spacing:
$\frac{252}{10} = 25.2$
Round up to 26 beams (we need whole beams to cover the perimeter, and the blueprint shows 26 marked points matching this).
Step4: Calculate cost of steel beams
Cost = Number of beams × Cost per beam
$26 \times 45 = 1170$
Step5: Note missing fencing cost
The problem does not provide the cost of the fencing material itself, only the beams. However, if we assume Question 4 refers to total beam cost (since fencing cost is unspecified), we use the beam cost.
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How many steel beams will we need for the entire enclosure? 26
What will be the cost of the beams? $\$1170$
What is the total cost for the fencing (including the beams)? $\$1170$ (Note: Fencing material cost is not provided in the problem; this is only the cost of the steel support beams.)