Assign the following variables for the origina3l rectangle:
let w = width let w + 8 = length and the area would be w(w + 8) = w² + 8w
No for the second rectangle:
let (w + 4) = width and (w + 8 - 5) or (w + 3) = length
Area = length x width or (w + 4)(w + 3) = w² + 3w + 4w + 12 using the foil method to multiply to binomials. Simplified Area = w² + 7w + 12
Now our problem says that the two area will be equal to each other, which sets up the following equation:
w² + 8w = w² + 7w + 12 subtract w² from both sides
8w = 7w + 12 subtract 7w from both sides
w = 12 this is the width of our original rectangle
recall w + 8 = length, so length of the original rectangle would be 20
Answer:
12x2 20x2 =40+24=64
Step-by-step explanation:
Is that the full question, because it doesn't make sense to me :/
The solution is 
and 
Step-by-step explanation:
The expression is 
Multiplying the term 
by 
, we get,
Adding both sides by 1,
Taking factor, we get,
Equating the factors to 0,
and 
Thus, the smaller value is
The solution is and
Answer:
m<S' = 115
Step-by-step explanation:
A translation is when one shifts the image over on a coordinate plane. A translation doesn't affect the image itself. Hence m<S is the same as m<S'. Therefore m<S' = 115
