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Can a parallelogram and a rectangle have the same perimeters but different areas?
Wiki User
∙ 12y ago
Yes.
Wiki User
∙ 12y ago
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What shapes have the same perimeter but different areas?
Most shapes can have the same area and different perimeters. For example the right size square and circle will have the same are but they will have different perimeters. You can draw an infinite number of triangles with the same area but different perimeters. This is before we think about all the other shapes out there.
How can two parallelograms have the same areas but different perimeters?
Start with a rectangle, which is a special type of a parallelogram. Suppose its height is A units and length is B units. Then its area is A*B sq units and its perimeter is 2*(A+B) units. Now slide the top side horizontally, keeping the vertical height between the top and the bottom the same. The area will not change but the perimeter will increase because the sides have now become slanted and longer. The rather griim figures below may help illustrate (the . are for spacing): +------+.....+------+ |........|........\........\ +------+..........+------+
How many rectangles have the same area but different perimeters?
Infinitely many. Suppose the area of the rectangle is 100. We could create rectangles of different areas: 100x1 50x2 25x4 20x5 10x10 However, the side lengths need not be integers, which is why we can create infinitely many rectangles. Generally, if A is the area of the rectangle, and L, L/A are its dimensions, then the amount 2(L + (L/A)) can range from a given amount (min. occurs at L = sqrt(A), perimeter = 4sqrt(A)) to infinity.
Is it true that when equilateral triangles have equal perimeters they must also have equal areas?
Yes.
Who invented area and perimeter?
The first recorded use of areas and perimeters in the west was in ancient Babylon, where they used it to measure the amount of land that was owned by different people for taxation puposes.
Is a rectangle the biggest parallelogram there is?
No. There are quadrilaterals (4-sided polygons) with bigger sides, or bigger perimeters, or bigger areas. There are polygons with more sides or vertices (as big a number as you like, and more).
Why is the area of a rectangle greater than that of a parallelogram?
Not necessarily. In fact, if a rectangle and parallelogram have the same base and height, their areas are equal.
What do you know about the perimeters of similar figures?
The areas are different.
Why would two shapes have equal areas and perimeters?
There is no particular reason. In fact, in general, two shapes will have different areas or perimeters or both.
How many acres does 202 yards enclose?
I assume 202 yards is the perimeter. It really depends on the shape of the figure - whether it is a square, rectangle, circle, elipse, etc. In the case of a rectangle, for example, this would also depend on the length to width ratio. In summary, different figures have different perimeters for the same area (or different areas for the same perimeter).I assume 202 yards is the perimeter. It really depends on the shape of the figure - whether it is a square, rectangle, circle, elipse, etc. In the case of a rectangle, for example, this would also depend on the length to width ratio. In summary, different figures have different perimeters for the same area (or different areas for the same perimeter).I assume 202 yards is the perimeter. It really depends on the shape of the figure - whether it is a square, rectangle, circle, elipse, etc. In the case of a rectangle, for example, this would also depend on the length to width ratio. In summary, different figures have different perimeters for the same area (or different areas for the same perimeter).I assume 202 yards is the perimeter. It really depends on the shape of the figure - whether it is a square, rectangle, circle, elipse, etc. In the case of a rectangle, for example, this would also depend on the length to width ratio. In summary, different figures have different perimeters for the same area (or different areas for the same perimeter).
How do you calculate area in meters?
Calculation of an area depends on what type of area you are trying to measure. The formula for a square (s2) is different for that of a rectangle (lw), which is different from that of parallelogram (bh). See the list of related articles for how to calculate various areas.
What is the relationship for perimeter and area for rectangle?
There is no relationship between the perimeter and area of a rectangle. Knowing the perimeter, it's not possible to find the area. If you pick a number for the perimeter, there are an infinite number of rectangles with different areas that all have that perimeter. Knowing the area, it's not possible to find the perimeter. If you pick a number for the area, there are an infinite number of rectangles with different perimeters that all have that area.
Is it true that the greater the perimeter the greater the area?
No, in general that is not true. For two similar figures it is true. But you can easily design two different figures that have the same perimeters and different areas, or the same area and different perimeters. For example, two rectangles with a different length-to-width ratio.
Two triangles are similar and have a ratio of similarity of 3 1 What is the ratio of their perimeters and the ratio of their areas?
The ratio of their perimeters will be 3:1, while the ratio of their areas will be 9:1 (i.e. 32:1)
How can two parallelograms have the same areas but different perimeters?
Start with a rectangle, which is a special type of a parallelogram. Suppose its height is A units and length is B units. Then its area is A*B sq units and its perimeter is 2*(A+B) units. Now slide the top side horizontally, keeping the vertical height between the top and the bottom the same. The area will not change but the perimeter will increase because the sides have now become slanted and longer. The rather griim figures below may help illustrate (the . are for spacing): +------+.....+------+ |........|........\........\ +------+..........+------+
What shapes have the same perimeter but different areas?
Most shapes can have the same area and different perimeters. For example the right size square and circle will have the same are but they will have different perimeters. You can draw an infinite number of triangles with the same area but different perimeters. This is before we think about all the other shapes out there.
How do you calculate Areas and perimeters for Quadrilaterals?
P= Add all sides A= LxW
