Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

part 2: observation deck 1 square = 1 yard question 5 5 pts convert all…

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 =

Explanation:

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: $45 \times 45 = 2025 \text{ sq ft}$
$A = 2916 - 2025 = 891 \text{ sq ft}$

Answer:

3 yards = 9 feet
15 yards = 45 feet
18 yards = 54 feet
$P = 216$ feet
$A = 891$ square feet