The length I think is 15 and the width I think is 19
Answer:
(a)80 feet
(b)$120,000
Step-by-step explanation:
<u>Part A</u>
<u>Intersecting Secant-Tangent Theorem</u>
If a tangent segment and a secant segment are drawn to a circle from an exterior point, then the square of the measure of the tangent segment is equal to the product of the measures of the secant segment and its external secant segment.
In the attached diagram, the theorem applied is:

Comparing with our diagram:
|AX|=30 feet
|UX|=10 feet
Length of the Bridge,L
Therefore:

900=10(L+10)
L+10=900/10
L+10=90
L=90-10=80 feet
Length of the Bridge=80 feet
<u>Part B</u>
If each foot costs $1500
Cost of the bridge=$1500*80=$120,000
Answer: he needs to buy 578.5 yard² of Sod.
Step-by-step explanation:
Assuming the lawn is square shaped, the formula for determining the area of a square is
Area = length²
If the length of each side of the lawn is 24 1/2 = 24.5 ft
Area of the lawn = 24.5² = 600.25yard²
The area of the pool house is 16yard²
The area of the side walk is
3 × 1 = 3 yard²
The length of the pool is 7 1/2 = 7.5yards
The width of the pool is 2 1/2 = 2.5 yards. Therefore,
Area of pool = 7.5 × 2.5 = 18.75 yard²
Therefore, the amount of Sod that he needs to buy is
600.25 - (3 + 18.75) = 600.25 - 21.75
= 578.5 yard²