Step-by-step explanation:
area of the trapezoid = area of the 2 triangles +
area of the rectangle
i) area of triangle on left:
a = ½ bh
a = ½ × 2 × 9
a = 9 in²
ii) area of triangle on right:
a = ½ bh
a = ½ × 2 × 9
a = 9 in²
iii) area of rectangle = length × width
a = l × w
a = 12 × 9
a = 108 in²
iv) area of trapezoid = 9 + 9 + 108
= 126 in²
hope this helps you!
-s.
So to start this off, we need to find the area of the playground. We can simply multiply 150*2 and 50*2, and we get 300 and 100. Add those together and we get 400m.
Now, we can identify the number of laps it takes. But first, we have to convert kilometers into meters. there are 1000 meters in 1 km, so we will use 1000 to find the answer
Now, we can do 1000/400 to find the answer, which is 2.5
Therefore, it will take Kerry 2.5 laps to skate around the entire park
Answer: 2.5 laps
Hope this helped!!! :D
Answer: 1,045.50
Step-by-step explanation: hope this helps champ.
Answer:
y = 4 / x = 2
Step-by-step explanation:
Insert x equation for variable x
y = 2(-y+6)
simplify
y= -2y + 12
add 2y to both sides
3y= 12
divide both sides by 3
y = 4
Insert 4 as y in y =2x
4=2x
divide both sides by 2
x=2
The answer is (3600 - 900π) ft²
Step 1. Find the radius r of circles.
Step 2. Find the area of the portion of the field that will be watered by the sprinklers (A1)
Step 3. Find the total area of the field (A2)
Step 4. Find the area of the portion of the field that will not be watered by the sprinklers (A)
Step 1. Find the radius r of circles
r = ?
According to the image, radius of a square is one fourth of the field side length:
r = s/4
s = 60 ft
r = 60/4 = 15 ft
Step 2. Find the area of the portion of the field that will be watered by the sprinklers.
The area of the field that will be watered by the sprinklers (A1) is actually total area of 4 circles with radius 15 ft.
Since the area of a circle is π r², then A1 is:
A1 = 4 * π r² = 4 * π * 15² = 900π ft²
Step 3. Find the total area of the field (A2)
The field is actually a square with side s = 60 ft.
A2 = s² = 60² = 3600 ft²
Step 4. Find the area of the portion of the field that will not be watered by the sprinklers (A).
To get the area of the portion of the field that will not be watered by the sprinklers (A) we need to subtract the area of 4 circles from the total area:
A = A2 - A1
A = (3600 - 900π) ft²
