Unitary Method
The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products.
Speed, Time, and Distance
Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.
Profit and Loss
The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.
Units and Measurements
Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.
Help
![### Geometry Problem: Finding the Perimeter of a Rhombus
#### Question:
In rhombus JKLΜ, diagonals JL and KM are drawn. If JL = 12 and KM = 16, what is the perimeter of JKLM?
#### Options:
A. 10
B. 20
C. 30
D. 40
#### Explanation:
To solve for the perimeter of rhombus JKLM, we need to use the relationship between the diagonals and the sides of a rhombus.
1. In a rhombus, the diagonals bisect each other at right angles.
2. The diagonals of the rhombus create four right-angled triangles, with the diagonals acting as the hypotenuse.
##### Step-by-Step Solution:
1. **Divide the diagonals by 2:**
- Half of JL = 12 / 2 = 6
- Half of KM = 16 / 2 = 8
2. **Use the Pythagorean theorem to find the side length of the rhombus:**
Each side of the rhombus (s) can be found using:
\[
s = \sqrt{ (6)^2 + (8)^2 }
\]
\[
s = \sqrt{ 36 + 64 }
\]
\[
s = \sqrt{ 100 }
\]
\[
s = 10
\]
3. **Calculate the perimeter:**
Perimeter of the rhombus = 4 * side length
\[
\text{Perimeter} = 4 \times 10 = 40
\]
#### Answer:
D. 40](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6f655a5e-3946-44a0-87d7-d06571787362%2Fd61e0b3c-65c4-4be6-b6cf-2cbbfda4a1b0%2Fvb8p0iq_processed.jpeg&w=3840&q=75)
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