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Suppose each length of a square is increased by 3 feet if the perimeter of the square is now 48 feet what were the original side lengths of the square?
9 feet was the original side lengths
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How does tripling the side lengths of a pentagon affect its perimeter?
Tripling the side lengths of a pentagon will result in tripling its perimeter. The perimeter is the sum of all the side lengths, so if each side is multiplied by three, the total perimeter also increases by the same factor. Therefore, if the original perimeter is (P), the new perimeter becomes (3P).
How does doubling the side lengths of a triangle affect a perimeter?
Doubling the side lengths of a triangle results in a perimeter that is also doubled. The perimeter of a triangle is the sum of its three side lengths, so if each side length is multiplied by two, the total perimeter will similarly be multiplied by two. For example, if a triangle has side lengths of 3, 4, and 5, its original perimeter is 12, and if the side lengths are doubled to 6, 8, and 10, the new perimeter will be 24.
How does doubling the side legs of a right triangle affect its perimeter?
Doubling the lengths of the two legs of a right triangle increases each leg's contribution to the perimeter. If the original leg lengths are ( a ) and ( b ), the new lengths become ( 2a ) and ( 2b ). The original perimeter is ( a + b + c ) (where ( c ) is the hypotenuse), while the new perimeter becomes ( 2a + 2b + c' ) (where ( c' ) is the new hypotenuse). Thus, the new perimeter is effectively doubled, minus any increase in the hypotenuse, leading to a perimeter that is greater than or equal to twice the original perimeter.
What happens to the perimeter when the sides enlarge?
When the sides of a shape enlarge, the perimeter increases proportionally based on the lengths of the sides. For example, if each side of a polygon is increased by a certain factor, the new perimeter will be the original perimeter multiplied by that same factor. This means that enlarging the sides directly affects the total length around the shape, resulting in a larger perimeter.
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.
What would happen to the perimeter if the side lengths of a rectangle are halved?
The perimeter of a rectangle is just the sum of the lengths of its sides, so taking half of each of the sides would make the total half of its original value also.
Suppose you consider a Retangular floor space of 36 square meters with whole number side lengths. which design has the least perimeter?
The closer you get to a perfect square, the smaller the perimeter. A 6x6 square will have a 24 perimeter. A 36x1 will have the largest perimeter. The area is the same, but the length has 'stretched' to cover a larger perimeter.
How does doubling the side lenghts of aright triangle affect its perimeter?
Doubling the side lengths of a right triangle results in a new triangle with each side being twice as long. Since the perimeter is the sum of all the side lengths, doubling each side effectively doubles the perimeter as well. Therefore, if the original perimeter is ( P ), the new perimeter will be ( 2P ).
What is the sum of the lengths of the sides of a polygon?
The sum of the lengths of the sides of a polygon is called the perimeter.
What is the sum of the side lengths called?
The perimeter.
What is the perimeter of a dodecagon?
The perimeter of a dodecagon is the sum of the lengths of its 12 sides. These sides may be of different lengths.
What is the perimeter of the dodecagon?
The perimeter of a dodecagon is the sum of the lengths of its 12 sides. These sides may be of different lengths.
