Answer: Length = 9 units
Step-by-step explanation:
Let L represent the length of the rectangle.
The width of a rectangle is 2 units less than the length. It means that the width of the rectangle is (L - 2) units.
The formula for determining the area of a rectangle is expressed as
Area = length × width
The area of the rectangle is 63 units. It means that
L(L - 2) = 63
L² - 2L = 63
L² - 2L - 63 = 0
L² + 7L - 9L - 63 = 0
L(L + 7) - 9(L + 7) = 0
L - 9 = 0 or L + 7 = 0
L = 9 or L = - 7
Since the length cannot be negative, then
L = 9 units
Width = 9 - 2 = 7 units
The answer is an Obtuse angle
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3 men
4 women
7 total
3 men/ 7 total = 198 men/ x total
using cross products
3*x = 7 * 198
divide each side by 3
x = 7*198/3
x = 462
There are 462 workers
If you mean 3 men and 1 women for a total of 4 workers when you state a ratio of men and women in a certain factory is 3 to 4.
3/4 =198/x
Using cross products
3x = 4* 198
Divide each side by 3
3x/3 = 4*198/3
x =264
264 workers
It all depends on how you define ratio of men and women in a certain factory is 3 to 4. This is incorrect phrasing and I took it to be men to women. You cannot have a ratio of men and women.
