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Sagot :
The length of the given rectangle is 7 units.
What is the area of the rectangle?
The area of the rectangle is the product of its length and width.
I.e., A = l × w sq. units
Calculation:
It is given that, the width of a rectangle is the length minus 6 units.
I.e., W = L - 6 units
Then, the area of the rectangle is
A = L × (L - 6)
But we have given that, the area of the rectangle is 7 sq. units.
So, we can write
7 = L² - 6L
⇒ L² - 6L - 7 = 0
⇒ L² - 7L + L - 7 = 0
⇒ L(L - 7) + 1(L - 7) = 0
⇒ (L + 1)(L - 7) = 0
∴ L = -1 or L = 7
The length should not be a negative value. So, the length of the given rectangle is 7 units.
Then, the width of the rectangle is
W = L - 6 = 7 - 6 = 1 unit.
Learn more about the area of a rectangle at the following link:
https://brainly.com/question/2607596
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