Answer:
18
Step-by-step explanation:
Remark
This is one of those questions that can throw you. The problem is that do you include the original rectangle or not. The way it is written it sounds like you shouldn't
However if you don't the question gives you 2 complex answers. (answers with the sqrt( - 1) in them.
Solution
Let the width = x
Let the length = x + 5
Area of the rectangle: L * w = x * (x + 5)
Area of the smaller squares (there are 2)
Area = 2*s^2
x = s
Area = 2 * x^2
Area of the larger squares = 2 * (x+5)^2
Total Area
x*(x + 5) + 2x^2 + 2(x + 5)^2 = 120 Expand
x^2 + 5x + 2x^2 + 2(x^2 + 10x + 25) = 120 Remove the brackets
x^2 + 5x + 2x^2 + 2x^2 + 20x + 50 = 120 collect the like terms on the left
5x^2 + 25x + 50 = 120 Subtract 120 from both sides.
5x^2 + 25x - 70 = 0 Divide through by 5
x^2 + 5x - 14 = 0 Factor
(x + 7)(x - 2) = 0 x + 7 has no meaning
x - 2 = 0
x = 2
Perimeter
P = 2*w + 2*L
w = 2
L = 2 + 5
L = 7
P = 2*2 + 2 * 7
P = 4 + 14
P = 18
Answer:
C. 1.5
Step-by-step explanation:
Answer:
true
Step-by-step explanation:
Its so they can remember what info they already have
Answer:
w = 9.82
x = 66.73
Step-by-step explanation:
By applying tangent rule in triangle ABD,
tan(81°) = 
6.31 = 
w = 
w = 9.82
Similarly,
tan(39°) = 
0.81 = 
0.81 = 
9.82 + x = 
x = 76.56 - 9.82
x = 66.74
Meaning of the rate: 6 days each month.
The answer is A. Something happens 6 days per month.
This means that in every month, there are available 6 days that let you do something.
Example in the GYm, you have 6 days per month free gym usage.