The area of a rectangular envelope is given by the trinomial x2 + 8x + 7. The length of the envelope is x + 7. What is the width
of the envelope?
1 answer:
Answer:
The formula of the width is : x+1
Explanation:
The given expression is:
x² + 8x + 7
First, we will factor this expression. To get the roots, we will use the formula shown in the attached image.
For the given expression:
a = 1
b = 8
c = 7
Applying this formula, we will get:
either x = -1 or x = -7
This means that:
x² + 8x + 7 = (x+7)(x+1)
The area of the rectangle is calculated as follows:
area = length * width
We are given that:
area = x² + 8x + 7
length = x+7
Comparing the formula of area with its factorized form, we can deduce that the width is x+1 units
Hope this helps :)
The formula of the width is : x+1
Explanation:
The given expression is:
x² + 8x + 7
First, we will factor this expression. To get the roots, we will use the formula shown in the attached image.
For the given expression:
a = 1
b = 8
c = 7
Applying this formula, we will get:
either x = -1 or x = -7
This means that:
x² + 8x + 7 = (x+7)(x+1)
The area of the rectangle is calculated as follows:
area = length * width
We are given that:
area = x² + 8x + 7
length = x+7
Comparing the formula of area with its factorized form, we can deduce that the width is x+1 units
Hope this helps :)
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