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
33 / 84 ( these digits divide by 3 first we get)
11 / 28 ( after this there is no number from which we can divide these numbers again so)
11 / 28 is the final answer
The property you use to get from 4(x + 3) to 4x + 12 is the distributive property.
Answer:
See explanation
Step-by-step explanation:
Statement Reason
1. the diagram shows segment AC with point B on this segment, then
<u>Segment addition postulate</u>
2. Given 
then
<u>Substitution property</u>
3. Simplify the equation as follows
<u>Combine like terms</u>
4. Subtract 8 from both sides
<u>Subtraction property of equality</u>
5. Divide by 8:
<u>Division property of equality</u>
