0
For a rectangle with a perimeter 72 to have the largest area what dimensions should it have Enter the smaller value first?
Wiki User
∙ 14y ago
Since the largest area would be obtained by having adjacent sides equal to each other, and since a square is at least technically an equilateral rectangle, divide the perimeter of 72 by 4 to get sides of 18 and an area of 324.
Wiki User
∙ 14y ago
Add your answer:
Earn +20 pts
Who do you draw a rectangle with the Area 4 perimeter 6?
It's impossible. The largest area for a rectangle with perimeter of 6 is 2.25, a perfect square with a length of 1.5 for each side. Any other combination yields a smaller area.
What is similar between area and perimeter?
Very little. The only two things that they have in common are that they are normally associated with two dimensional figures and that their measures depend on the measures of the sides (or other dimensions, such as radii) of the shape in question. An area is a two dimensional characteristics of the shape, a perimeter is 1 dimensional; there is very little association between area and perimeter - you can have very tiny areas with huge perimeters eg a 0.00001m * 1000m rectangle would have an area smaller than an A4 sheet of paper, but would have a perimeter of just over 2 kilometres.
What has 3 horizontal sides?
A rectangle minus a smaller rectangle which share a vertex.
How do you find the dimensions of a rectangle that has an area of 120 square inches if the length is one inch smaller than twice the width?
you can't, unless the area was an odd number you can't, unless the area was an odd number
Is it possible for the area to be smaller than the perimeter?
It's possible for the digit to be smaller. A square with 3 feet on each side will have a 9 square foot area and a 12 foot perimeter. It's pointless to compare area and perimeter. They have different units.
What are the dimensions of the rectangle with the smallest perimeter?
There are almost infinite possibilities as you get smaller and smaller
What are the dimensions of the rectangle with an area of 100 square units and whole-number side lengths that have the smallest perimeter?
It is 5 units * 20 units. A smaller perimeter can be attained by a square but the question specified a 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
Who do you draw a rectangle with the Area 4 perimeter 6?
It's impossible. The largest area for a rectangle with perimeter of 6 is 2.25, a perfect square with a length of 1.5 for each side. Any other combination yields a smaller area.
Can a rectangle have a smaller perimeter and also a greater area?
Yes. For instance, the rectangle measuring 1 by 10 has a perimeter of 22 and an area of 10, whereas the rectangle measuring 4 by 4 has a perimeter of 16 and an area of 16.
What would be a greater perimeter but a smaller area to a question of 24 and a area of 27?
Perimeter = 24 and area = 27 . . . . . rectangle, 3 by 9 Perimeter = 32 and area = 15 . . . . . rectangle, 1 by 15
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.
What are the dimensions of a rectangle with the smallest possible area with a perimeter of 72 yards?
if the rectangle is a square 18yd x 18yd, the area = 324 sq yd. that us the largest area. As one side gets smaller, the other side get larger.If the smallest length you can measure is 1 yd., the rectangle would be 1 yd. x yd 35 yd.= 35 sq. yd. IF you can draw a line .01 yd.long, the other side of the rectangle is 36.99 yd. long. .01 yd x 36.99 yd = .3599 sq yd. There is no smallest area, only a largest area.
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
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.
Is it possible for a shape to have the same area but different perimeter?
Answer: Yes. A polygon can have the same perimeter length but smaller area than another polygon. Answer: For congruent or similar shapes, no. For different shapes, yes. Consider, for example, a rectangle 3 x 1, and another rectangle 2 x 2. They have different areas, but the same perimeter.
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.
