Answer:
26.25 bottles
Step-by-step explanation:
A flower garden in the form of trapezoid is shown. The length of longer base is labeled 18 feet, shorter base is 15 feet, height is 4 feet, and one leg is 5 feet.
Formula for perimeter of a trapezoid = Side a + side b + length a + length b
For the trapezium shown, its perimeter step 1,
we have to find the missing length
Length a
We are given height = 4 feet
Length of the longer base = 18 feet
Length of the shorter base = 15 feet
Different would give us the base of the right angle triangle
= 18 - 15 = 3 feet
Using Pythagoras Theorem we can find the side a = c
a² + b² = c²
3² + 4² = c²
9 + 16 = c²
c = √25
c = 5 feet
Hence side a = 5 feet
Perimeter of the Trapezoid shown =
18 feet + 15 feet + 5 feet + 5 feet
= 38 feet.
From the question,
You need two bottles of fertilizer to treat the flower garden shown. How many bottles do you need to treat a similar garden with a perimeter of 105 feet
Hence:
38 feet = 2 bottles
105 feet = x bottles
Cross y
= 38 × x = 105 × 2
= 38x = 105 × 2
x = 105 × 2/38
x = 26.25 bottles
26.25 bottles of fertilizer is needed to treat the garden with a perimeter of 105
