0
How can you change the equations for the area and perimeter of rectangle to apply to squares?
Here is how you do it. If the lenght of the rectangle is L and the Width is W, the perimeter of a rectangle is 2L+2W. To modify this for a square, L=W, so we have 2L+2L where now L is the lenght of a side since all sides have the same length. The formula is 4L. Similarly for the area of a recatangle the formula is LxW, but once again since L=W, we have L2.
What else can I help you with?
Does changing the area always change the perimeter?
No. A rectangle of 1 x 3 has the same perimeter as a rectangle of 2 x 2, but the areas are different.
How can the perimeter stay the same and the area change?
4x4 square: perimeter - 16 area - 16 6x2 rectangle perimeter - 16 area - 12
Does the perimeter of a rectangle change when you double the dimensions?
Yes. The perimeter is a measure of the combined length of all the sides. If you double the lengths of the sides then naturally this will also necessarilychange the perimeter (it will double the perimeter).
Does the perimeter of a rectangle change if you double only the width?
Yes, because you are increasing one of the sides.
What is the perimeter of a rectangle has an area of 5cm square?
The perimeter of a rectangle cannot be determined with the area alone as the lengths could vary. For example, the perimeter of the rectangle could be 12 (1 and 5) or 9 (2 and 2.5). For both cases, the area is still 5cm2, but the length can still change to result in different results.
Can the perimeter of a rectanlge be larger than the area?
Yes, the perimeter of a rectangle can be larger than its area. For example, consider a rectangle with dimensions 1 unit by 1 unit, which has a perimeter of 4 units and an area of 1 square unit. As the rectangle's dimensions change, especially when one dimension is much larger than the other, the perimeter can exceed the area even more significantly.
The length and width of a triangle are each multiplied by 4 find how the perimeter and the area of the rectangle change?
As written, that's confusing. The length and width of a triangle wouldn't have any bearing on the perimeter and area of a rectangle unless they overlap in some drawing that only you are looking at. Let's assume you meant rectangle all along. If the dimensions of a rectangle increased 4 times the perimeter would also increase 4 times. The area would increase 16 times. Try it out. A 2 x 3 rectangle has perimeter 10 and area 6. An 8 x 12 rectangle has perimeter 40 and area 96.
How does the perimeter of rectangle change when the length of side is decreased by 1 unit?
It depends on what side is being decreased All rectangles have perimeter 2l+2w where l is the length and w is the with if the length is decreased by 1 then the rectangle will have perimeter 2(l-1)+2w, similarly if the with is decreased by 1 then it will have perimeter 2l+2(w-1).
How does the perimeter of a rectangular change if one of its sides is doubled?
Perimeter of a rectangle = 2(length + breadth) if one of it's side is doubled then, the resultant perimeter will be 2(2length + breadth) or 2(length + 2 breadth) as the case may be.
How do you make a rectangle with the same perimeter but different area?
You just have to change the lengths of the sides. For example, if you wanted a perimeter of 20, your rectangle could be... 1x9 with area of 9 2x8 with area of 16 3x7 with area of 21 4x6 with area of 24 5x5 with area of 25 All of these have the same perimeter, but a different area, see?
What is a fixed perimeter?
A perimeter that will not change.
What is the perimeter of a parallelogram with a an area of 60?
It can be any length you like greater than (or equal to) 4 x √60 ≈ 30.98 A parallelogram is a sheared rectangle; the more the rectangle shears, the longer the originally "vertical" sides (the height of the parallelogram) become. (Shearing does not change the area of the shape.)
