QUESTION IMAGE
Question
part 2: observation deck
1 square = 1 yard
question 5
5 pts
convert all measurements into feet.
- 3 yards = feet
- 15 yards = feet
- 18 yards = feet
find the perimeter (in feet) of the observation deck: p =
find the area (in feet) of the observation deck: a =
Step1: Convert yards to feet (1yd=3ft)
$3 \text{ yards} = 3 \times 3 = 9 \text{ feet}$
$15 \text{ yards} = 15 \times 3 = 45 \text{ feet}$
$18 \text{ yards} = 18 \times 3 = 54 \text{ feet}$
Step2: Calculate perimeter (feet)
The deck's perimeter matches a 54ft×54ft square:
$P = 4 \times 54 = 216 \text{ feet}$
Step3: Calculate area (feet)
Subtract inner rectangle from outer square:
Outer area: $54 \times 54 = 2916 \text{ sq ft}$
Inner rectangle: $45 \times 45 = 2025 \text{ sq ft}$
$A = 2916 - 2025 = 891 \text{ sq ft}$
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3 yards = 9 feet
15 yards = 45 feet
18 yards = 54 feet
$P = 216$ feet
$A = 891$ square feet