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? 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.

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

answer   download the app called socratic on your phoner:

step-by-step explanation:

- "runner b is moving at a slower rate."

- "the graphs shown are graphs of distance(km) against time(min).

the slopes of this graphs are are given by:

slope = (change in y)/(change in x)

= (change in distance)/(change in time)

this is the formula for finding the speed. so, the slope of these graphs represent the speed of the runner.

taking each division in the graph to represent 1 on both axis:

runner a ⇒ speed = (2-0)/(1-0)

= 2/1

= 2 km/min

runner b ⇒ speed = (3-0)/(3-0)

= 3/3

= 1 km/min

this shows that   runner b is moving at a slower rate."