0
Add your answer:
Earn +20 pts
What shape has a bigger area and a smaller perimeter?
Bigger than what ? Smaller than what ? If you have a certain perimeter and you want to cram the most area inside it, or if you have a certain area and you want to enclose it in the shortest perimeter, then you must make the perimeter circular. If you have only a limited number of fence posts and a circular perimeter isn't practical, then you make the perimeter square.
If the area is 350square feet what is the perimeter?
There is insufficient information to answer the question. For a given area, the perimeter depends upon the shape. For a given area, the circle will have the smallest perimeter. For polygons, regular polygons will have a smaller perimeter than an irregular one of the same area. Also, for regular polygons, the greater the number of sides, the smaller the perimeter.
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.
Does a shape with a smaller perimeter always have a smaller area?
No. Consider two rectangles: 1 x 10 and 4 x 5 The 1 x 10 has a perimeter of 22 and an area of 10 The 4 x 5 has a perimeter of 18 and an area of 20 Smaller perimeter, twice the area.
What is the least possible perimeter with an area of 169 ft?
The shape which minimises the perimeter for a fixed area is a circle. A circle of radius 7.334 ft (approx) will have the required area and a perimeter (circumference) of just 46.084 ft. The quadrilateral with the smallest perimeter will be a square with sides of 13 feet: a perimeter of 4*13 = 52 feet. Any regular polygon with more than 4 sides will have a smaller perimeter, for the same area, than a square.
Is the perimeter of a polygon less than the area of the polygon?
if your perimeter totals the same as 4 times pi then the maximum area that can be encompassed is equal to the perimeter. This is done by forming a circle. if you change the shape of the circle then the area will become smaller than the perimeter(circumference) if you make the circumference of the circle smaller then you will definitely decrease the area faster than you would the perimeter if you make the perimeter bigger then you will definitely increase the area faster than you would the perimeter.
If you remove a square from the area of a shape will its perimeter get smaller?
No, the area will get smaller, not the perimeter.
What shape has a bigger area and a smaller perimeter?
Bigger than what ? Smaller than what ? If you have a certain perimeter and you want to cram the most area inside it, or if you have a certain area and you want to enclose it in the shortest perimeter, then you must make the perimeter circular. If you have only a limited number of fence posts and a circular perimeter isn't practical, then you make the perimeter square.
If the area is 350square feet what is the perimeter?
There is insufficient information to answer the question. For a given area, the perimeter depends upon the shape. For a given area, the circle will have the smallest perimeter. For polygons, regular polygons will have a smaller perimeter than an irregular one of the same area. Also, for regular polygons, the greater the number of sides, the smaller the perimeter.
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 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.
Does a shape with a smaller perimeter always have a smaller area?
No. Consider two rectangles: 1 x 10 and 4 x 5 The 1 x 10 has a perimeter of 22 and an area of 10 The 4 x 5 has a perimeter of 18 and an area of 20 Smaller perimeter, twice the area.
What is the least possible perimeter with an area of 169 ft?
The shape which minimises the perimeter for a fixed area is a circle. A circle of radius 7.334 ft (approx) will have the required area and a perimeter (circumference) of just 46.084 ft. The quadrilateral with the smallest perimeter will be a square with sides of 13 feet: a perimeter of 4*13 = 52 feet. Any regular polygon with more than 4 sides will have a smaller perimeter, for the same area, than a square.
Is it possible for the area to be smaller than the perimeter?
Yes, it is possible for the area to be smaller than the perimeter. In geometric terms, the area of a shape is the measure of the space inside the shape, while the perimeter is the sum of the lengths of all the sides. For certain shapes, such as rectangles with very elongated proportions, it is possible for the perimeter to be larger than the area.
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
Can one rectangle have a greater area than another but a smaller perimeter?
Definitely.Rectangle #1: 18 x 2Perimeter = 40Area = 36Rectangle #2: 7 x 6Perimeter = 26Area = 42Rectangle #2 has a less perimeter than #1,but more area.
Is it sometimes always or never true that the perimeter of a rectangle is greater than the area?
It depends on the length and width... The smaller of the length and the width, the perimeter is greater than the area... But.. The bigger of the length and width, the area is greater than the perimeter. example : length = 5 , width = 2 AREA = 5 x 2 = 10 Perimeter = 2 x ( 5 + 2 ) = 14 example : length = 9 , width = 6 AREA = 9 x 6 = 54 Perimeter = 2 x (9 + 6) = 30 you can see the different.....
