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Can you draw a shape that the perimeter is numerically twice the area?
Yes, a shape can be drawn where the perimeter is numerically twice the area. A classic example is a rectangle with dimensions 2 units by 1 unit. The perimeter of this rectangle is 2(2 + 1) = 6 units, while the area is 2 × 1 = 2 square units. Here, the perimeter (6) is indeed twice the area (2).
Which rectangle has the greatest area for a fixed perimeter?
The greatest area for a fixed perimeter will be when all the sides are equal or when the rectangle approaches the shape of a square.
Is it sometimes always or never true that the perimeter of a rectangle is numerically greater than its area?
Sometimes. Experiment with a small square and with a large square (though any shape rectangle will do). A square of 4 x 4 has a perimeter of 16, and an area of 16. A smaller square has more perimeter than area. A larger square has more area than perimeter.
What is the perimeter and area of a rectangle with the sides equal to 5 inches and 7 inches?
Perimeter:20 inches Area:35
The length of a rectangle is three times its width If the perimeter of the rectangle is 486in2 what is its area?
the length is equal to 160,083
What do you call a rectangle with the same area and perimeter?
Equal or equivalent fits your "clue".
How do you draw a shape in which is the perimeter numerically twice the area?
Well, isn't that a happy little challenge! To draw a shape where the perimeter is twice the area, you can start with a rectangle. Let's say the length is 4 units and the width is 1 unit. The perimeter would be 10 units (4+4+1+1) and the area would be 4 square units (4x1). Keep painting those shapes and exploring the joy of numbers!
What is the area of a rectangle with a perimeter of 30cm?
Let h and w equal the dimensions of the rectangle and A equal its area 2h + 2w = 30 The perimeter of the rectangle is the sum of its sides, two widths and two heights h*w = A The formula for the area of a rectangle We have two equations but three unknown variables. Without more information about this rectangle, it is impossible to solve for the area from the perimeter alone unless this rectangle was specified as being a square (which gives us a third equation, b = h )
The area of a rectangle is 100 inches the perimeter is 40 a second rectangle has the same area but a different perimeter. Is the second rectangle a square?
the area of a rectangleis 100 square inches. The perimeter of the rectangle is 40 inches. A second rectangle has the same area but a different perimeter. Is the secind rectangle a square? Explain why or why not.
How do you maximize the area given the perimeter?
In the case of a rectangle, you would maximize the area given the perimeter by making the dimensions equal. In other words, you would make the rectangle into a square. However, to truly maximize the area, you would make the perimeter a perfect circle.
How do you draw a shape in which the numerically equal to its perimter?
To draw a shape where its perimeter is numerically equal to its area, consider a square with a side length of 4 units. The perimeter of this square is (4 \times 4 = 16) units, and its area is (4 \times 4 = 16) square units. Thus, both the perimeter and the area equal 16, satisfying the condition. You can draw this square by marking four points at (0,0), (4,0), (4,4), and (0,4) and connecting them.
If same area in a rectangle does that mean same perimeter?
No. For example, a 4x1 rectangle will have an area of 4 and a perimeter of 10. A 2x2 rectangle will have the same area of 4, but a perimeter of 8.
