A rectangle has a length 10 more than its width. If the width is increased by 8 and the length by 4, the resulting rectangle has
2 answers:
The Solution to the problem of the rectangle is given below
For Part A:
- equation model: (14 + w) * (w +8) = 132
- Length = 15
For Part B
- Perimeter = 46
Meaning of Perimeter
The perimeter of any shape can be defined as the total sum of the sides of the shape.
<h3>Analysis</h3>For Part A
equation model= (14 + w) * (w +8) = 135
14w + 112 + 8w + = 135
+ 22w - 23 = 0
solving the quadratic equation
w = -23 or 1
Because we are dealing with a physical quantity we will make use of the value 1
lenght of original rectangle = 10 + 1 = 11
Part B
Perimeter= 2(length) * 2 (breadth) = 2(11 + 4) * 2 (1 + 8)
Perimeter = 48
In conclusion, The Solution to the problem of the rectangle is given above.
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The value of gf(5) for the given two expressions is 135.
According to the question,
We have the following information:
f(x)= x +4
g(x) = 3x
Now, in order to find the value of gf(5), we will first find the value of gf.
Now, we will multiply these two expressions:
3x(x+4)
Now, the terms outside the brackets need to multiplied inside the bracket:
Now, we will put the value of x in this expression as 5 and solve the expression further by multiplication and addition:
3*5*5+12*5
75+60
135
Hence, the value of gf(5) for the given two expressions of f(x) and g(x) is 135.
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