The length of AD is 32 feet
Step-by-step explanation:
An architect is sketching a blueprint of a patio for a new fence
- On the blueprint, C is the midpoint of segment AD
- Point B is the midpoint of segment AC
- BC = 8 feet
We need to find the length of AD
A mid-point divides a line segments into two equal parts in length
∵ C is the mid-point of AD
- The mid-point C divides the line segments AD into two equal parts
∴ AC = CD
∵ B is the mid point of AC
∴ AB = BC
∵ BC = 8 feet
∴ AB = 8 feet
- AC contains AB and BC
∵ AC = AB + BC
∴ AC = 8 + 8 = 16
∵ AC = CD
∵ AC = 16
∴ CD = 16
- AD contains AC and CD
∵ AD = AC + CD
∴ AD = 16 + 16 = 32
The length of AD is 32 feet
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Answer:
The Area of Rectangular Garden is 1044 feet²
Step-by-step explanation:
According to question
The perimeter of the garden = 82 ft
Let the length be L ft
The width be W ft
Now as per question
L = 5 + ( 2× W )
∵ Perimeter of Rectangle = 2 × ( Length + Width )
Or , Perimeter of Rectangle = 2 × ( L+ W )
Or, 82 = 2 × ( L+ W )
Or, 82 = 2 × [ 5 + ( 2 ×W ) + W ) ]
Or, 82 = 2 × ( 5 +3W )
Or, 41 = 5 + 3W
Or, 41 - 5 = 3W
So, 3W= 36
∴ W = = 12 feet
I.e Width = 12 feet
And L = 5 + ( 2× W )
Or, Length = 5 + 24 = 29 feet
Now The Area of Rectangle = Length × width
So, The Area of Rectangle = 29 ft × 36 ft
The Area of Rectangle is 1044 feet²
Hence The Area of Rectangular Garden is 1044 feet² Answer
There are 111 faculty members at the college and 629 students at the college.
Step-by-step explanation:
Given,
The student to faculty ratio = 17:3
Total number of 740.
Let,
x be the original number.
Number of students = 17x
Number of faculty = 3x
Number of students + Number of faculty = 740
Dividing both sides by 20
Number of students = 17x = 17*37 = 629
Number of faculty = 3x = 3*37 = 111
There are 111 faculty members at the college and 629 students at the college.
Keywords: ratio, multiplication
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Answer:
47 and 2/5
Step-by-step explanation: