Study guides

☆☆

Q: Area of rhombus if area and perimeter is given and if you have to find altitude?

Write your answer...

Submit

Still have questions?

Continue Learning about Math & Arithmetic

With perimeter 10 and all sides equal fora rhombus, each side (base) is 10/4 = 2.5 inch Area = base times altitude = 2.5 x 12 = 30

it is impossible for a diagonal of a rhombus to be the same length as its perimeter

There is no relationship between the perimeter and the area of a rhombus. Take a rhombus with all 4 sides = 2 units. Therefore the perimeter is 8 units. There are an infinite number of possible areas for this rhombus. The largest possible area will be when the rhombus approaches the shape of a square = 4 square units. The smallest area will be when the one diagonal approaches 0 units and the other diagonal approaches 4 units (squashed almost flat). So two very extreme areas can have the same perimeter, including all those areas in-between.

Its perimeter is the sum of its 4 sides Its area is 0.5 times the product of its diagonals

P = 4*a (a is side length) Area = p*q/2 (p=perimeter, q=diagonal

Related questions

28

30

With perimeter 10 and all sides equal fora rhombus, each side (base) is 10/4 = 2.5 inch Area = base times altitude = 2.5 x 12 = 30

The answer depends on what information is given to you.

it is impossible for a diagonal of a rhombus to be the same length as its perimeter

Base 1= 5 Perimeter 1=20 altitude 1= 4 A/P1 = 4*24/20 = 24/5 = 4.8 Base 2=3 Perimeter 2=12 altitude 2= 4*24/12 = 4*2 =8

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

There is no relationship between the perimeter and the area of a rhombus. Take a rhombus with all 4 sides = 2 units. Therefore the perimeter is 8 units. There are an infinite number of possible areas for this rhombus. The largest possible area will be when the rhombus approaches the shape of a square = 4 square units. The smallest area will be when the one diagonal approaches 0 units and the other diagonal approaches 4 units (squashed almost flat). So two very extreme areas can have the same perimeter, including all those areas in-between.

Its perimeter is the sum of its 4 sides Its area is 0.5 times the product of its diagonals

Area equals base times height. The perimeter is 4 times the length of one side.

Find the area of a rhombus whose side is 6 cm and whose altitude is 4 cm? . Area = base * height Altitude = height. Altitude = 4 cm . A rhombus has all 4 sides equal, so the base = 6 cm . Area = base * height . Area = ____sq. cm.

P = 4*a (a is side length) Area = p*q/2 (p=perimeter, q=diagonal

People also asked