The area of a rhombus is 148.8cm per square
If one diagonal is 19.2cm find the length of the other diagonal.
the area of a rhombus = (1/2) product of its diagonals
let d be the other diagonal
(1/2)(19.2)d = 148.8
you do the arithmetic
yea @Reiny +Reiny is right
To find the length of the other diagonal of a rhombus, you can use the formula:
Area = (1/2) * (d1 * d2), where d1 and d2 are the lengths of the diagonals.
Given that the area is 148.8 cm² and one diagonal (d1) is 19.2 cm, we can plug in these values into the formula and solve for the other diagonal (d2).
148.8 = (1/2) * (19.2 * d2)
To solve for d2, divide both sides of the equation by (1/2):
d2 = (148.8 * 2) / 19.2
d2 = 296.8 / 19.2
After evaluating the division, the length of the other diagonal (d2) is approximately 15.42 cm.
To find the length of the other diagonal of a rhombus, we can use the formula for the area of a rhombus, which is:
Area = (diagonal1 * diagonal2) / 2
Given that the area is 148.8 cm² and one diagonal is 19.2 cm, we can plug these values into the formula and solve for the other diagonal. Let's call the length of the other diagonal "x".
148.8 = (19.2 * x) / 2
To solve for "x", we can multiply both sides of the equation by 2 to get rid of the fraction:
148.8 * 2 = 19.2 * x
297.6 = 19.2 * x
Now, divide both sides of the equation by 19.2 to isolate "x":
297.6 / 19.2 = x
x ≈ 15.5
Therefore, the length of the other diagonal is approximately 15.5 cm.