math
posted by kudu
The area of a rhombus is 60cm^2. Given that one of its diagonals is 15 cm long, calculate the perimeter of the rhombus.

Reiny
area of a rhomus = (1/2)(product of its diagonals)
let the other diagonal be a
(1/2)(15a) = 60
15a= 120
a = 8
So let's find the hypotenuse of one of the rightangled triangles formed by the intersection of its diagonals
base = 4, height = 7.5
if h is the hypotenuse,
h^2 = 4^2 + 7.5^2
h = 8.5
so perimeter = 4(8.5) = 34 cm 
stanley
34
Respond to this Question
Similar Questions

math PLEASE HELP
1. A rhombus has a perimeter of 96, and the length of one of its diagonals is 32. The area of the circle inscribed in the rhombus can be expressed as k*pi/w where k and w are relatively prime positive integers. Find the value of k … 
geometry
The diagonals of a rhombus are in 2:1. If the perimeter of the rhombus is 120cm, find the length of the diagonals. 
easy GEOMETRY!!
1.The perimeter of parallelogram QUAD is 10 more than 5 times AU. If QU =26 cm. find AU 2.If diagonals of a rhombus are 10 cm and 24 cm. find the area and perimeter of the rhombus SOlutions pleaseeeeeee 
Math
Which of the following statements is not always true? 
geometry
1.The perimeter of parallelogram QUAD is 10 more than 5 times AU. If QU =26 cm. find AU 2.If diagonals of a rhombus are 10 cm and 24 cm. find the area and perimeter of the rhombus SOlutions pleaseeeeeee 
geometry
Which of the following statements is not always true? 
Maths
The diagonals of a rhombus are in the ratio 3:4. If its perimeter is 40 cm, find the lengths of the sides and diagonals of the rhombus 
maths
The diagonals of a rhombus are in the ratio 3:4. If its perimeter is 40 cm, find the lengths of the sides and diagonals of the rhombus 
Math
the diagonals of a rhombus are in the ratio 3:4. if its perimeter is 40cm then find the length of the sides and diagonals of the rhombus 
math
Diagonal of a rhombus are in the ratio 3:4. If its perimeter is 40cm, find the length of the side and diagonals of rhombus