yes. A rectangle is any 4 sided 2 shape, while a square is a 4 sided shape with equal sides. A square is a rectangle, but a rectangle is not a square.
* * * * *
The above answer does not address the question that was asked.
Technically, squares are a proper subset of rectangles. In that respect, any square is a rectangle as well and so the answer to the question is yes. However, if considering squares and non-square rectangles, the answer is no.
The previous answer is not correct, however. A rectangle is NOT any 4 sided 2 shape. A rectangle must have four right angles and two pairs of equal opposite sides.
the area of a rectangleis 100 square inches. The perimeter of the rectangle is 40 inches. A second rectangle has the same area but a different perimeter. Is the secind rectangle a square? Explain why or why not.
yes
A square.
No, any shape with four sides and same perimeter will always be a square.
No. For example, a 4x1 rectangle will have an area of 4 and a perimeter of 10. A 2x2 rectangle will have the same area of 4, but a perimeter of 8.
not necessarily. take the example of a 3x3 square and a 4x2 rectangle. Both have a perimeter of 12. but the square has an area of 9 and the rectangle has an area of 8.
NO, because if you did it would be a square
64
4x4 square: perimeter - 16 area - 16 6x2 rectangle perimeter - 16 area - 12
No.For example, a 1 metre * 72 metre rectangle and a 8 metre * 9 metre rectangle both have areas of 72 square metres. But the perimeter of the first is 146 metres while that of the second is 34 metres.
More information is needed. For the same perimeter, the area will vary, depending on whether you have a circle, a square, a rectangle with a ratio of 2:1, a rectangle with a ratio of 3:1, etc.
For a fixed perimeter, the area will always be the same, regardless of how you describe the rectangle.
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.
This question has no unique answer. A (3 x 2) rectangle has a perimeter = 10, its area = 6 A (4 x 1) rectangle also has a perimeter = 10, but its area = 4 A (4.5 x 0.5) rectangle also has a perimeter = 10, but its area = 2.25. The greatest possible area for a rectangle with perimeter=10 occurs if the rectangle is a square, with all sides = 2.5. Then the area = 6.25. You can keep the same perimeter = 10 and make the area anything you want between zero and 6.25, by picking different lengths and widths, just as long as (length+width)=5.
Of course. A rectangle that is 5 by 5 (yes, that's a square, but a square is a rectangle) has a perimeter of 5 + 5 + 5 + 5 = 20 and an area of 5 x 5 = 25. A rectangle that is 9 by 1 also has a perimeter of 20 (= 9 + 1 + 9 + 1) but an area of 9 (= 9 x 1).
You can't tell. The area doesn't tell you the dimensions. There are an infinite number of different shapes with different dimensions and different perimeters that all have the same area. -- If the 575 square units of area are in the shape of a circle, then the radius of the circle is 13.53 units and the perimeter (circumference) is 85 units. (rounded) -- If the 575 square units of area are in the shape of a square, then each side of the square is 23.98 units and the perimeter is 95.92 units. (rounded) -- The 575 square units of area could also be a (23 x 25) rectangle, with perimeter of 96. -- The 575 square units of area could also be a (115 x 5) rectangle, with perimeter of 240. -- The 575 square units of area could also be a (575 x 1) rectangle, with perimeter of 1,152.
A rectangle with sides of 1cm and 6cm has an area of 6 cm2 and a perimeter of 14 cm. A rectangle with sides of 2cm and 3cm has the same area but its perimeter is 10 cm.