Let's call the width 
and the length 
based on this, we can make two equations based on the first and second sentences in the problem.
If we substitute 
for into the second equation, we can make the following:
- Use the Distributive Property
- Subtract 4 from both sides
- Divide both sides by 4 and simplify
Now, let's find :
The length of the rectangle is 
and the width of the rectangle is 
.
Considering the situation described in the problem, the length of segment AD is of: 17 units.
<h3>How to find the length of segment AD?</h3>
From the situation described in the problem, segment AD is divided into three parts:
Then, the length of segment AD is:
AD = AB + BC + CD.
We have that AC = 9, hence:
AB + BC = 9.
We also have that BD = 10, then:
BC + CD = 10.
Since BC = 2, we have that:
- AB + BC = 9 -> AB + 2 = 9 -> AB = 7.
- BC + CD = 10 -> 2 + CD = 10 -> CD = 8.
Then the length of segment AD is given as follows:
AD = AB + BC + CD = 7 + 2 + 8 = 17.
More can be learned about the length of segments at brainly.com/question/7694028
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Answer:
L=193
Step-by-step explanation:
Initial length of the road =57mi
L= Total length
D=number of days worked
Number of miles added in 1 day= 4mi
Therefore,
L=57+D*4
After 34 days,
L=57+(34*4)
L=193mi
Answer:
x=40 and y= 60
Step-by-step explanation:
<u>step:1</u>
Let 'x' and 'y' are two numbers
given data the sum of two numbers is 100
x+y = 100......(1)
Given difference of two numbers are
x - y = -20 ......(2)
<u>Step :2</u>
solving the equation (1) and (2)
adding the equations (1) and (2)
x+y+x-y=100-20
cancelling 'y' terms are
2 x = 80
dividing "2" on both sides, we get
x = 40
<u>Step :3</u>
substitute x = 40 in equation (1)
x + y =100
40 + y = 100
subtracting "40" on both sides, we get
40 + y - 40 = 100 -40
y = 60
Final answer:-
The two numbers are x = 40 and y= 60
