Answer: the length is 15 m and the width is 5 m
Step-by-step explanation:
Let L represent the original length of the rectangle.
Let W represent the original width of the rectangle.
The length of a rectangle is three times it's width. This means that
L = 3W
If the width is diminished by 1 m and length is increased by 3 m, the area of the rectangle that is formed is 72 m². This means that
(L + 3)(W - 1) = 72
LW - L + 3W - 3 - 72 = 72 + 3
LW - L + 3W = 75 - - - - -- - - - - - 1
Substituting L = 3W into equation 1, it becomes
3W × W - 3W + 3W = 75
3W² = 75
W² = 75/3 = 25
W = √25 = ±5
The width cannot be negative. Therefore, the width is 5 m
L = 3W = 3 × 5 = 15 m
The three consecutive integers are n, n+1, and n+2. They add up to -36 so n + n+ 1 + n+ 2 = -36. So 3n + 3 = -36. Subtract 3 from both sides. 3n = -39. Divide both sides by 3 to isolate n. N=-12. The integers are -12, -11, and -10. Good luck
Answer:
use photo math
Step-by-step explanation:
2x + 4(3-2x) =
2x + 12-8x =
2x-8x= -12
-6x= -12
x=2
