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The perimeter of a rectangle is 18 cm and its dimensions are quadrupled What is the perimeter of the larger rectangle?
Wiki User
∙ 14y ago
Length + Width = 9, becomes 36,
eg 8 + 1 becomes 32 + 4 or 5 + 4 becomes 20 + 16
New perimeter is 2 x 36 = 72 cm
Wiki User
∙ 14y ago
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What happens to the size of the perimeter when the dimensions of a square are tripled?
it becomes three times larger
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.
How is area perimeter and volume related?
In general the larger the perimeter (of a flat shape) the greater the area. Given two congruent shapes the one with the larger perimeter has a greater area.But two shapes that are not congruent (or almost so) do not follow this rule: for example a rectangle fifteen units long and one unit wide has an area of 15 square units and a perimeter of 32 units. While a square with edges four units has an area of sixteen square units (one more than the other rectangle) but a perimeter of only sixteen units (half that of the long thin rectangle).So too with surface area and volume. Of two congruent 3 dimensional shapes, the one with the larger volume will also have a larger surface area.
What is the area of two rectangles that have different perimeter which is 12 and 18?
The perimeter of a rectangle gives only a maximum for the area, there is no minimum because the rectangle can be an infinitesimally thin but long rectangle with an area as small as you like. The maximum area is attained when the rectangle is, in fact, a square. So perimeter 12 => max area = 3*3 = 9 square units. and perimeter 18 => max area = 4.5*4.5 = 20.25 sq units. So the two can have the same area for any value in the range (0, 9]. You say 2? Smaller rectangle = 0.3542 * 5.6458 and the larger = 0.2300 * 8.7720 If you want an area of S square units then smaller rectangle = 0.5*[6-sqrt(36-2*S)] by 0.5*[6+sqrt(36-2*S)] and larger rectangle = 0.5*[9-sqrt(81-2*S)] by 0.5*[9+sqrt(81-2*S)]
Does a shape with a smaller perimeter always have a smaller area?
No, the size of the perimeter and the area of a shape are not always directly related. For example, a circle with a small perimeter can have a larger area compared to a square with a larger perimeter. The area of a shape is determined by the size of its dimensions, whereas the perimeter is the sum of the lengths of its sides.
Which is larger the perimeter of a 2' 4' rectangle or the circumference of a circle with a diameter of 36?
The circumference of the circle is larger than the perimeter of the rectangle.
The dimensions of a smaller rectangle are 3 ft by 9 ft The dimensions of the larger rectangle are 5ft by 11ft Find the ratio of the area of the smaller rectangle to the area of the larger rectangle?
27:55
If a perimeter is 22 ft what is rectangle with an area larger than 30?
5
Is The area of a rectangle always greater than the perimeter?
To answer this simply try a few out for yourself. In a 2x1 cm rectangle, the area is 2 cm squared and the perimeter is 6 cm In a 12x10 rectangle, the area is 120 cm squared and the perimeter is 44 cm. In some cases, the perimeter is larger and in others it is smaller. To answer your question, no, the perimeter of a rectangle is NOT always greater than its area.
Which has the larger perimeter a 16-foot by 26-foot rectangle or a 20 foot square?
Perimeter of [ 16 x 26 ] rectangle = 16 + 16 + 26 + 26 = 84-ft . Perimeter of a 20-ft square = 4 x 20 = 80-ft . The rectangle has the greater perimeter.
What happens to the size of the perimeter when the dimensions of a square are tripled?
it becomes three times larger
Is the perimiter of 11 by 12 rectangle smaller or larger than the perimiter of a sqare with the same area?
11 x 12 rectangle has a larger perimeter = 46 units The 132 square unit area will give a square a perimeter of 45.9565 units
What will happen to the area of a pentagon if the side is doubled?
The area would become four times larger. The area increase is always the perimeter increase, squared. For example. If the sides of a square were quadrupled, the area would become sixteen times larger.
Rectangle whose perimeter is larger than area?
Perimeter is a unit of length. Area is a unit of area. The two units are not directly convertible.However, the area of a rectangle is length times width, and the perimeter is two times length plus two times width. Given constant perimeter, a square has maximum area, while a very thin rectangle has nearly zero area. (In calculus terms, the limit of the area as length or width goes to zero is zero.)Depending on how you want to name your units, you can always find a rectangle whose perimeter is "larger" than area, but this is a numerical trick that is not valid in any school of thought of mathematics that I know.
What is the perimeter of a rectangle if the area is 360 square centimeters?
Anything from almost 75,9 (if the rectangle were a square with each side 18,97 cm) to much larger, 722 if the rectangle is 1 cm by 360 cm or if the rectangle were 0,5 by 720 cm - still an area of 360 cm2! - the perimeter would be 1441cmGreater than 4 * sqrt 360
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.
How is area perimeter and volume related?
In general the larger the perimeter (of a flat shape) the greater the area. Given two congruent shapes the one with the larger perimeter has a greater area.But two shapes that are not congruent (or almost so) do not follow this rule: for example a rectangle fifteen units long and one unit wide has an area of 15 square units and a perimeter of 32 units. While a square with edges four units has an area of sixteen square units (one more than the other rectangle) but a perimeter of only sixteen units (half that of the long thin rectangle).So too with surface area and volume. Of two congruent 3 dimensional shapes, the one with the larger volume will also have a larger surface area.
