Below is the proof why the area of a parallelogram is B times H
<h3>How to form a rectangle from the parallelogram</h3>
The following steps would create a rectangle from the parallelogram
- Step 1: Cut out the triangular part of the parallelogram
- Step 2: Attach the triangular part to the other end of the parallelogram
See attachment for the steps.
When the rectangle has been created, we have the following dimensions:
Length = h
Width = B
The area of a rectangle is:
Area = Length * Width
This gives
Area = h * B
Evaluate
Area = Bh
Hence, the area of a parallelogram is B times H
Read more about parallelograms at:
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Hello!
The answer is:
Luke did a work of 308N.m or 308 Joules.
<h2>
Why?</h2>
When a force is applied on a object making it to move covering a distance we call it "work". The movement caused by the force, will follow the same direction that the force.
We can calculate the work done by using the following equation:
Where,
Work is the transferred energy.
Force, is the force applied to the object.
Distance, is the distance covered due to the applied force.
α, is the angle at the work is done.
We are given the following information to calculate the work done:
So, substituting the given information into the equation to calculate work, we have:
Hence, we have that Luke did a work of 308N.m or 308 Jouls.
Have a nice day!
Answer:
108º
Step-by-step explanation:
to find the sum of interior angles: ( n − 2 ) × 180 = x
x = 540º
n = # of interior angles
first, solve for n
(n - 2) • 180 = 540 distribute to 180 to (n - 2)
180n - 360 = 540 add 360 to both sides
180n = 900 divide both sides by 180
n = 5
to find measure of each angle:
540 ÷ 5 = 108º
