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Why it is possible for rectangles to have the same perimeters but different areas?

This is possible because you add perimiters but multiply areas. Consider a 2 x 4 rectangle and a 1 x 5 rectangle. The first has a perimeter of 12 (2+2+4+4), and an area of 8 (2 x 4). The second rectangle has a perimeter of 12 also (1+1+5+5), but an area of 5 (5 x 1). The closer a rectangle is to a perfect square, the larger the area will be, because a square maximizes area. A 3 x 3 square also has a perimeter of 12, but an area of 9. Heres another way to think about it: a rectangle that is one inch tall and 100 inches wide would have a perimeter of 202 inches, and an area of 100 square inches. If you added one inch to the side so that it was 101 inches wide, you would add 2 inches to the perimeter, but only one square inch to the area. However, if you made it one inch taller, you would still add 2 inches to the perimeter, but you would DOUBLE the area to 200 square inches.


What is the perimeter of a 1- inch square tile?

The perimeter would be 4 inches !


When you fold a square paper vertically the new rectangle has a perimeter of 39 inches what is the original area of the square?

169 square inches. Folding the square in half leaves 2 edges of the original side length and two of half the side length. Therefore: perimeter = side + 1/2 side + side + 1/2 side = 3 sides ⇒ 3 sides = 39 inches ⇒ 1 side = 39 inches ÷ 3 = 13 inches ⇒ area_original_square = 13 inches x 13 inches = 169 square inches.


The area of a rectangle is 36 square inches the length is 1 inch more than twice the width what are the dimensions of the rectangle?

9" x 4"


How do you find the area of a rectangle with a perimeter of 36m?

how do you find the area of a rectangle witha perimeter of 36 in You don't. You need more information For example a 1 x 17 rectangle has a perimeter of 36 and its area is 17. But a 2 x 16 rectangle also has a perimeter of 36 and its area is 32.

Related Questions

What is the perimeter of a 24 inch rectangle?

It is 1+4+1+4 = 10 inches.


What is the perimeter of a 1 by 4 inch rectangle?

It is 1+4+1+4 = 10 inches.


Is 17 inches by 1 inch a rectangle?

Yes, a rectangle can be 17 inches by 1 inch


Is it possible for two shapes to have the same area but different perimeters?

Yes it is possible. Consider these two shapes with the same area: a 2-inch square and a 1-inch x 4-inch rectangle both have the same area of 4 sq inches. However, the square has a perimeter of 8 inches while the rectangle has a perimeter of 10 inches. By the way, the shape with the largest area for a given perimeter is a circle.


What is the perimeter for a 1 inch by 1 inch square?

4 inches


Why it is possible for rectangles to have the same perimeters but different areas?

This is possible because you add perimiters but multiply areas. Consider a 2 x 4 rectangle and a 1 x 5 rectangle. The first has a perimeter of 12 (2+2+4+4), and an area of 8 (2 x 4). The second rectangle has a perimeter of 12 also (1+1+5+5), but an area of 5 (5 x 1). The closer a rectangle is to a perfect square, the larger the area will be, because a square maximizes area. A 3 x 3 square also has a perimeter of 12, but an area of 9. Heres another way to think about it: a rectangle that is one inch tall and 100 inches wide would have a perimeter of 202 inches, and an area of 100 square inches. If you added one inch to the side so that it was 101 inches wide, you would add 2 inches to the perimeter, but only one square inch to the area. However, if you made it one inch taller, you would still add 2 inches to the perimeter, but you would DOUBLE the area to 200 square inches.


Can you use square inch tiles to make a helipad that is a rectangle with a perimeter of 9 inches?

Could be. Let's say the rectangle is 3.5 in by 1 in; then it would take 3 and one-half tiles.


What is the perimeter of a 1- inch square tile?

The perimeter would be 4 inches !


How many 1 inch squares would be needed to cover a rectangle that's 6 inches and 4 inches?

To cover a rectangle that measures 6 inches by 4 inches, you would first calculate the area of the rectangle, which is 6 inches × 4 inches = 24 square inches. Since each 1-inch square covers 1 square inch, you would need 24 of the 1-inch squares to completely cover the rectangle.


What is the perimeter of 1 inch by 1 inch square?

4 in2 Square has four equal sides and you say the side is 1 inch. Hence perimeter is 4 inches


If the length is 10 inches and the perimeter is 22 inches what is the width?

Assuming the shape is a regular rectangle, then the width of each side will be equal to (22 - (10 x 2))/2 = 1 inch.


What is the perimeter of an equilateral triangle of 1 inch?

It is: 3*1 = 3 inches