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What is the perimeter of a rhombus whose diagonals add up to 42.5 cm and has an area of 187.5 square cm showing work?
Wiki User
∙ 7y ago
Double the area and find 2 numbers that have a sum of 42.5 and a product of 375 which will work out as 30 and 12.5 by using the quadratic equation formula.
Therefore the diagonals are of lengths 30 and 12.5 which will intersect each other half way at right angles forming 4 right angle triangles inside the rhombus with sides of 15 cm and 6.25 cm
Using Pythagoras' theorem each out side length of the rhombus is 16.25 cm and so 4 times 16.25 = 65 cm which is the perimeter of the rhombus.
Wiki User
∙ 7y ago
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Are diagonals of a rhombus parallel?
noNo, the diagonals of a rhombus are perpendicular to each other.Unless the rhombus is regular (and called a square) the diagonals are of different lengths.
Area of rhombus with diagonals 28Cm square and 28Cm?
The area of rhombus with diagonals 28Cm square and 28Cm is: 392 cm2
What is the perimeter of a rhombus when the diagonals equal 30 and 40 inches?
Each side S = square root ( 152 + 202 ) = 25The perimeter will then be 4 x S = 100
Does a rhombus have equal diagonals?
No. If they were equal the rhombus would become a square.
What is the area of a rhombus when one of its diagonals is 11.8 cm in length and has a perimeter of 29 cm showing work and answer?
Perimeter = 29 cm so each side is 7.25 cm. The triangle formed by the diagonal and two sides has sides of 7.25, 7.25 and 11.8 cm so, using Heron's formula, its area is 24.9 square cm. Therefore, the area of the rhombus is twice that = 49.7 square cm.
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
Are the diagonals of a rhombus are always perpendicular?
No. The diagonals of a rhombus are perpendicular only if the rhombus is a square.
Are diagonals of a rhombus parallel?
noNo, the diagonals of a rhombus are perpendicular to each other.Unless the rhombus is regular (and called a square) the diagonals are of different lengths.
Area of rhombus with diagonals 28Cm square and 28Cm?
The area of rhombus with diagonals 28Cm square and 28Cm is: 392 cm2
What is the area of a rhombus with diagonals of 10?
If both diagonals are 10 units then the rhombus is, in fact, a square. Its area is 50 square units.
What is the perimeter of a rhombus when the diagonals equal 30 and 40 inches?
Each side S = square root ( 152 + 202 ) = 25The perimeter will then be 4 x S = 100
What figure always have perpendicular diagonals?
Square, rhombus or a kite.
Does a rhombus have equal diagonals?
No. If they were equal the rhombus would become a square.
What is the area of a rhombus when one of its diagonals is 11.8 cm in length and has a perimeter of 29 cm showing work and answer?
Perimeter = 29 cm so each side is 7.25 cm. The triangle formed by the diagonal and two sides has sides of 7.25, 7.25 and 11.8 cm so, using Heron's formula, its area is 24.9 square cm. Therefore, the area of the rhombus is twice that = 49.7 square cm.
If a rhombus has diagonals of lengths 7cm and 12cm Using the Pythagorean theorem calculate the perimeter?
Perimeter: 4 times square root of (3.5^2+6^2) = 2 times square root of 193 in cm
Which of these quadrilaterals have diagonals that are perpendicular to each other - rectangle rhombus square or parallelogram?
Rhombus and Square (since a square is just a "special" rhombus, with right angles)
Are the diagonals of a rhombus ever congruent?
Yes, if they are a square.
