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
Answer:
The Identity Property
Step-by-step explanation:
The identity property for addition tells us that zero added to any number is the number itself. Zero is called the "additive identity." The identity property for multiplication tells us that the number 1 multiplied times any number gives the number itself.
Answer:
31
Step-by-step explanation:
56-25=31
Answer:
I believe it is 127ft²
Step-by-step explanation:
The set A U B is represented by shading both circles A and B (also the overlapping region as well). Any point in set A U B will be in either A, B or both.