Answer:
60 square foot
Step-by-step explanation:
Perimeter of a rectangular garden = 58 foot
Let x and y denote length and width of the rectangular garden.
2 (Length + Width) = Perimeter of the rectangular garden

So,
length = x
width = y = 
The length is reduced by 7 feet and the width becomes half.
New length = 
New width = 
New perimeter = 34 foot
![2[(x-7)+\frac{1}{2}(29-x)]=34\\ 2[2(x-7)+(29-x)]=2(34)\\2(x-7)+(29-x)=34\\2x-14+29-x=34\\2x-x-14+29=34\\x+15=34\\x=34-15\\x=19](https://tex.z-dn.net/?f=2%5B%28x-7%29%2B%5Cfrac%7B1%7D%7B2%7D%2829-x%29%5D%3D34%5C%5C%202%5B2%28x-7%29%2B%2829-x%29%5D%3D2%2834%29%5C%5C2%28x-7%29%2B%2829-x%29%3D34%5C%5C2x-14%2B29-x%3D34%5C%5C2x-x-14%2B29%3D34%5C%5Cx%2B15%3D34%5C%5Cx%3D34-15%5C%5Cx%3D19)
So,
New length 
New width = 
Area of the new smaller garden = New length × New Width
= 12 × 5
= 60 square foot
Answer:
5.123x10^-3
Step-by-step explanation:
Answer:
V=5.333cubit unit
Step-by-step explanation:
this problem question, we are required to evaluate the volume of the region bounded by the paraboloid z = f(x, y) = 3x² + y² and the square r: -1≤ x ≤ 1, -1 ≤ y ≤ 1
The question can be interpreted as z = f(x, y) = 3x² + y² and the square r: -1≤ x ≤ 1, -1 ≤ y ≤ 1 and we are told to evaluate the volume of the region bounded by the given paraboloid z
The volume V of integral evaluated along the limits of x and y for the 2-D figure, can be evaluated using the expression below
V = ∫∫ f(x, y) dx dy then we can now substitute and integrate accordingly.
CHECK THE ATTACHMENT BELOW FOR DETAILED EXPLATION:
Answer:
We know that this triangle is similar because it will have all of the same angles as the first triangle. This is because two parallel lines cut by a transversal will create the same angles. In addition, they share the final angle because we are not changing that angle. Therefore, all 3 are the same, which makes them similar triangles.