0
What is the largest area that you can have if the perimeter is 20 feet?
Wiki User
∙ 14y ago
For a rectangular area, m(x)=xy where 2x+2y=20 giving us y=10-x.
So, m(x)=x(10-x).
Hence, m(x)=-x2+10x which is a parabola opening down. This maxes the y value of the vertex a maximum value. Vertex formula is: ([-b]/[2a], [4ac-b2]/[4a]).
So, the maximum area is [4ac-b2]/[4a]=[4(-1)(0) - (10)2]/[4(-1)]=25.
Therefore, the largest area is 25 units2.
Wiki User
∙ 14y ago
Add your answer:
Earn +20 pts
What is area of regular polygon with a perimeter of 20 feet and apothem of 3 feet?
0.5*apothegm*perimeter = 0.5*3*20 = 30 sq feet
What is the area of a square that has a perimeter of 20 ft?
It is 25 square feet
What would be the area of a regular polygon with a perimeter of 20 feet and an opothem of 3 feet?
Area of regular polygon: 0.5*3*20 = 30 square feet
Are all rectangles with the perimiter of 20 feet equal the same area?
No. For example, a 1 ft by 9 ft rectangle (2 sides of length 1 and 2 sides of length 9) has perimeter 20 ft and an area of 9 square feet. But a 4 ft by 6 ft rectangle also has a perimeter of 20 feet, but an area of 24 square feet. These two rectangles both have the same perimeter of 20 feet but different areas.
The perimeter of a rectangle is 18 feet and the area of the rectangle is 20 square feet what is the width of the rectangle?
5
Perimeter of 20 square acres?
A square with an area of 20 acres has a perimeter of about 3,733.5 feet.
What is area of regular polygon with a perimeter of 20 feet and apothem of 3 feet?
0.5*apothegm*perimeter = 0.5*3*20 = 30 sq feet
What is the area of a square that has a perimeter of 20 feet?
A square with a side length of 5 feet (20/4) has an area of 25 square feet.
What is the area of a rectangle that is 11 feet wide and the perimeter is 62 feet?
Area: 11*20 = 220 square feet
What is the perimeter of Utah?
the largest great white shark found was 20 feet long
What would the perimeter of the square be if the area was 25sq ft?
20 feet
What is the area of a square that has a perimeter of 20 ft?
It is 25 square feet
What would be the area of a regular polygon with a perimeter of 20 feet and an opothem of 3 feet?
Area of regular polygon: 0.5*3*20 = 30 square feet
What is the perimeter of a square with an area of 25 sq ft?
The perimeter of a square with an area of 25 sq ft is 20 feet because each side of the square is 5 feet, so the perimeter must be 4 x 5 feet.
Are all rectangles with the perimiter of 20 feet equal the same area?
No. For example, a 1 ft by 9 ft rectangle (2 sides of length 1 and 2 sides of length 9) has perimeter 20 ft and an area of 9 square feet. But a 4 ft by 6 ft rectangle also has a perimeter of 20 feet, but an area of 24 square feet. These two rectangles both have the same perimeter of 20 feet but different areas.
The perimeter of a rectangle is 18 feet and the area of the rectangle is 20 square feet what is the width of the rectangle?
5
What would be the area of a regular polygon with a perimeter of 20 feet and and apothem of 3 feet?
30ft * * * * * No, it is 30 SQUARE feet. Area cannot be measured in feet!
