Answer:
Area = x^2+4x+3
Step-by-step explanation:
The volume of a box is given by the expression
x^3 + 3x^2 - x-3. The height of the box is given by the expression x-1.
volume of the box = Length * width * height
L is the side length of the box;
Given
V(x) = x^3 + 3x^2 - x-3
Factorize
V(x) = x^2(x+3)-1(x+3)
V(x) = (x^2-1)(x+3)
V(x) = (x+1)(x-1)(x+3)
V = LWH
V = Area * Width
Since the height of the box is x - 1
Area = (x+1)(x+3)
Expand
Area = x^2+3x+x+3
Area = x^2+4x+3
The perimeter of the square is:
ft
Step-by-step explanation:
The picture is attached with the answer.
the diagonal of a square divides it into two right angled-triangles.
We can use one of the triangle to find the length of side as the diagonal will be the hypotenuse of the triangle
Let a be the side of the square, then according to Pythagoras theorem

Dividing both sides by 2

Taking Square root on both sides

Now,

Hence,
The perimeter of the square is:
ft
Keywords: Perimeter, Pythagoras Theorem
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Answer: $28...
Step-by-step explanation:
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