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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.
What else can I help you with?
What happens to area and perimeter of a triangle when it is moved?
Just moving a triangle, or rotating, or even reflecting (without scaling) a shape will not change its area or its perimeter.
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).
Is there a relationship between area and perimeter of a rectangle and Why?
Yes, there is a relationship between the area and perimeter of a rectangle, although they measure different aspects. The area is calculated by multiplying the length by the width, while the perimeter is the sum of all sides, given by the formula ( P = 2(l + w) ). As the dimensions of a rectangle change, both area and perimeter can increase or decrease, but they do not have a direct proportional relationship; for instance, a rectangle can have the same perimeter but different areas depending on its length and width.
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.
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.
What happens to area and perimeter of a triangle when it is moved?
Just moving a triangle, or rotating, or even reflecting (without scaling) a shape will not change its area or its perimeter.
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).
Is there a relationship between area and perimeter of a rectangle and Why?
Yes, there is a relationship between the area and perimeter of a rectangle, although they measure different aspects. The area is calculated by multiplying the length by the width, while the perimeter is the sum of all sides, given by the formula ( P = 2(l + w) ). As the dimensions of a rectangle change, both area and perimeter can increase or decrease, but they do not have a direct proportional relationship; for instance, a rectangle can have the same perimeter but different areas depending on its length and width.
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.
Does the perimeter of a rectangle change if you double only the width?
Yes, because you are increasing one of the sides.
Why is triangle stronger than a rectangle?
Given unchanging lengths of the sides, a triangle cannot change its shape. But given unchanging lengths of the sides of a rectangle, it can change its shape by some force by changing its angle measurements. If a 2d load were put on a rectangle, enough force could squish the rectangle into a parallelogram, whereas a triangle cannot change shape without changing the lengths of its sides or bending its sides out of shape (most likely into a curve).Given these properties, a rectangle can collapse its shape much more easily and is flimsy compared to a triangle.
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.
Why does doubling the side lengths of a right triangle affect it perimeter?
Doubling the side lengths of a right triangle increases each side by a factor of two. Since the perimeter is the sum of all three sides, the new perimeter becomes twice the original perimeter. Therefore, if you double the side lengths, the perimeter also doubles. This change maintains the triangle's shape but scales it proportionally.
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).
If the base of a triangle is doubled how does the perimeter change?
If the base of a triangle is doubled while the other sides remain unchanged, the perimeter of the triangle will increase by the amount equal to the original base length. Specifically, if the original base is ( b ) and the other two sides are ( a ) and ( c ), the new perimeter becomes ( (2b + a + c) ), resulting in an increase of ( b ). Thus, the total perimeter becomes the original perimeter plus the original base length.
