Answer:
the anwer is a triangle as it is shown below.
Answer: The length is 12 feet and the width is 4 feet.
Step-by-step explanation:
Let L represent the length of the bedroom closet.
Let W represent the width of the bedroom closet..
The formula for determining the perimeter of a rectangle is expressed as
Perimeter = 2(L + W)
The perimeter of the bedroom closet is 32 ft. This means that
2(L + W) = 32
Dividing through by 2, it becomes
L + W = 32/2
L + W = 16
The area of the bedroom closet is 48 ft². This means that
LW = 48 - - - - - - - -- - - - - - 1
Substituting L = 16 - W into equation 1, it becomes
W(16 - W) = 48
16W - W² = 48
W² - 16W + 48 = 0
W² - 12W - 4W + 48 = 0
W(W - 12) - 4(W - 12) = 0
W - 12 = 0 or W - 4 = 0
W = 12 or W = 4
L = 16 - 4 = 12
Answer:
3.5.
Step-by-step explanation:
3^2 = 9
and 4^2 = 16 so the square root is between 3 and 4.
Take a rectangle 3.4 by 3.6:
the area = 3.4 * 3.6 = 12.24 so an estimate of the square root could be 3.5.
3.5 * 3.5 = 12.25.
Add 1 to both sides:
In cases like this, we have to remember that a root is always positive, so we can square both sides only assuming that
Under this assumption, we square both sides and we have
The solutions to this equation are
But since we can only accept solutions greater than -1, we discard 
and accept 
.
In fact, we have
and
which is the only solution.
