Answer:
<h2>Length is 17m and Breadth is also 17m</h2>
Step-by-step explanation:
The perimeter of a rectangle is expressed as 2(L+B) where;
L is the length and B is the breadth of the triangle.
P = 2(L+B)
68 = 2(L+B)
L+B = 68/2
L+B = 34
L = 34 - B ... 1
Area of the rectangle A = LB... 2
Substituting equation 1 into 2 will give;
A = (34-B)B
A = 34B-B²
To maximize the area of the triangle, dA/dB must be equal to zero i.e
dA/dB = 0
dA/dB = 34 - 2B = 0
34-2B = 0
2B = 34
Dividing both sides of the equation by 2 we will have;
B = 34/2
B = 17
Substituting B = 17 into equation 1 to get the length L
L = 34-17
L = 17m
This shows that the rectangle with maximum area is a square since L = B = 17m
The dimension of the rectangle is Length = 17m and Breadth = 17m
Simplify/Combine all the (x)s and the numbers together
So the simplest form will be -5x + 1
Answer: 1/2x + 1/3
Step-by-step explanation:
Given:
1/4(x) + 3/4(x) - 1/2(x) + 1 - 2/3
Step 1: Combine like terms
1/4(x) and 3/4(x) have a common denominator of 4. This means that you can add them together.
1/4(x) + 3/4(x) = 4/4(x) = x
Step 2: Find the common denominator of x in step 1 and combine like terms
x - 1/2(x) = 2/2(x) - 1/2(x)
Now that we have the common denominator of x, we can combine like terms. Its the same as adding or subtracting fractions without a variable. In this case, you must subtract 1/2(x) from 2/2(x).
2/2(x) - 1/2(x) = 1/2(x)
Step 3: Find the common denominator of the constants and combine like terms
1 - 2/3 = 3/3 - 2/3
Now combine like terms. Simply subtract 2/3 from 3/3.
3/3 - 2/3 = 1/3
Step 4: Write the simplified equation
1/2(x) + 1/3
This is the answer
40%
Because, 2/5 equals 4/10. 10x10=100, so 4x10=40, so 40%.
