Consecutive sides of a rhombus measure 2x + 15 and 4x - 5. What is the perimeter of the rhombus?
a.) 10
b.) 35
c.) 70
d.) 140
a rhombus equal sides, so any two sides are equal.
So,
2x + 15 = 4x - 5
2x = 20
x = 10
so, the sides measure 35 each.
The perimeter is 4*35 = 140
oops.
a rhombus has four equal sides
To find the perimeter of the rhombus, we need to add up the lengths of all four sides.
The consecutive sides of the rhombus measure 2x + 15 and 4x - 5.
Therefore, the perimeter is:
Perimeter = (2x + 15) + (4x - 5) + (2x + 15) + (4x - 5)
= 2x + 15 + 4x - 5 + 2x + 15 + 4x - 5
= 12x + 20
Since we don't have a specific value for x, we can't determine the exact perimeter.
Therefore, the correct answer is not provided in the given options (a, b, c, or d).
To find the perimeter of the rhombus, we need to add up the lengths of all four sides.
Let's start by labeling the lengths of the sides of the rhombus:
Length of one side = 2x + 15
Length of adjacent side = 4x - 5
Length of opposite side (which is equal to the first side) = 2x + 15
Length of opposite side (which is equal to the second side) = 4x - 5
Now, we can calculate the perimeter by adding up all the side lengths:
Perimeter = (2x + 15) + (4x - 5) + (2x + 15) + (4x - 5)
Simplifying this expression, we get:
Perimeter = 2x + 15 + 4x - 5 + 2x + 15 + 4x - 5
= 12x + 20
Therefore, the perimeter of the rhombus is 12x + 20.
Now we need to find the value of x in order to calculate the perimeter. However, the information provided in the question does not give us any information about x, so it's not possible to determine the exact value of the perimeter.
Therefore, without more information about the value of x, we cannot determine the perimeter of the rhombus.