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What is the area of a rhombus when one of its angles is 60 degrees and has a perimeter of 32 cm?
It will have 4 equal sides of 8 cm.
It will have 2 equal opposite angles of 60 degrees.
It will have 2 equal opposite angles of 120 degrees.
Using the cosine rule its diagonals are 8 cm and square root of 192 cm.
Its area is 0.5 times 8 times sq rt of 192 = 55.426 square cm rounded to 3 d.p.
What else can I help you with?
What is the measure of a rhombus?
The answer to this question depends on what characteristic of a rhombus you are measuring: the length of its sides, its perimeter, area, length of diagonal, its acute angles, its obtuse angles, or something else.
What is the area and perimeter of a rhombus?
Area equals base times height. The perimeter is 4 times the length of one side.
What is the area and perimeter of a rhombus whose diagonals are in lengths of 7.5 cm and 10 cm showing work?
Area of the rhombus: 0.5*7.5*10 = 37.5 square cm Perimeter using Pythagoras: 4*square root of (3.75^2 plus 5^2) = 25 cm
Is the shape possible with a area of 7 and perimeter of 16?
Yes. There are lots of possible solutions. For example, a square of 4 x 4 has an area of 16. Adjust the angles (converting it into a rhombus), and you can lower the area all the way down to zero. Use trigonometry to find the correct angle.Yes. There are lots of possible solutions. For example, a square of 4 x 4 has an area of 16. Adjust the angles (converting it into a rhombus), and you can lower the area all the way down to zero. Use trigonometry to find the correct angle.Yes. There are lots of possible solutions. For example, a square of 4 x 4 has an area of 16. Adjust the angles (converting it into a rhombus), and you can lower the area all the way down to zero. Use trigonometry to find the correct angle.Yes. There are lots of possible solutions. For example, a square of 4 x 4 has an area of 16. Adjust the angles (converting it into a rhombus), and you can lower the area all the way down to zero. Use trigonometry to find the correct angle.
What are properties of rombus?
A rhombus is a quadrilateral having four sides of equal length. A rhombus has two axes of symmetry, both being its diagonals. The opposite sides of a rhombus are parallel to one another. The opposite angles of a rhombus are the same size as one another. If a rhombus has a right angle, then it is a square. Perimeter of a rhombus is four times the length of any side (4 x S). Area of a rhombus is the product of the length of one side and the height. The height is shortest distance between two sides, equal to the length of a line that is perpendicular to both opposite sides. This can be written as: Area = Side x Height (A = SH). * A rhombus has 4 sides, since it is a quadrilateral.
What is the perimeter of a rhombus that has an area of 17.12141519 square cm with angles of 37.5 degrees and 142.5 degrees?
From the given information and by using trigonometry the perimeter in cm of the rhombus works out as 15 times the square root of 2
What is the measure of a rhombus?
The answer to this question depends on what characteristic of a rhombus you are measuring: the length of its sides, its perimeter, area, length of diagonal, its acute angles, its obtuse angles, or something else.
What is the value of a rhombus if a equals 3x degrees and b equals x 2 degrees?
Thanks to limitations of the browser, not all symbols are visible. In particular, it is not clear what b equals. In any case there is no single measure for the value of a rhombus. A rhombus has a perimeter, length of sides, an area, internal angles and many other characteristic measures. None of these is "the value" of the rhombus.
What is the area of a rhombus with a perimeter diagonal?
it is impossible for a diagonal of a rhombus to be the same length as its perimeter
Area of rhombus if area and perimeter is given and if you have to find altitude?
Perimeter = 4*Side so that Side = Perimeter/4 Area of a rhombus = Side * Altitude so Altitude = Area/Side = Area/(Perimeter/4) = 4*Area/Perimeter
How do you find the measures of a rhombus with two diagonals?
That will depend on the lengths of the diagonals of the rhombus which are of different lengths and intersect each other at right angles but knowing the lengths of the diagonals of the rhombus it is then possible to work out its perimeter and area.
What are the inside angles to the nearest degree of a rhombus whose perimeter is 78 cm with an area of 270 square cm showing work?
The rhombus will consist of 4 right angle triangles each with an hypotenuse of 19.5 cm and an area of 67.5 square cm and by using Pythagoras' theorem then the quadratic equation formula their sides work out as 7.5 cm and 18 cm Using trigonometry each triangle will have angles of 23, 67 and 90 degrees. Therefore the rhombus will have 2 equal opposite obtuse angles of 134 degrees and 2 equal opposite acute angles of 46 degrees. Check: 2(134)+2(46) = 360 degrees Check: 0.5*15*36 = 270 square cm Check: 4*19.5 = 78 cm which is the perimeter
What are the corner angles and area of a quadrilateral with vertices at -1 4 and 3 7 and 8 7 and 4 4 on the Cartesian plane?
The given vertices will form a rhombus when plotted on the Cartesian plane with 4 equal sides of 5 units with 2 equal opposite angles of 143.13 degrees and 2 equal opposite angles of 36.87 degrees including an area of 15 square units.
What are the formulas for the area and perimeter of a rhombus?
Its perimeter is the sum of its 4 sides Its area is 0.5 times the product of its diagonals
What is the perimeter and area of a triangle when its shortest side is 3.6 cm and two of its angles are 37.25 degrees and 48.4 degrees?
Using trigonometry its perimeter rounds up to 14 cm and its area rounds up to 8 square cm
What is the perimeter of a rhombus with an area of 42 and an altitude of 6?
28
What is the area of a rhombus with a perimeter of 20 and an altitude of 6?
30
