Please help me (>^ <) -Solving equations with variables on both sides
1 answer:
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Answer:
The area of the trapezoid is
Step-by-step explanation:
we know that
The area of a isosceles trapezoid is equal to the area of two isosceles right triangles plus the area of a rectangle
step 1
<em>Find the area of the isosceles right triangle</em>
Remember that
In a isosceles right triangle the height is equal to the base of the triangle
we have
so
The area is equal to
substitute the values
step 2
Find the area of the rectangle
The area of the rectangle is equal to
we have
-----> is the height of the trapezoid
-----> the diagonal of the rectangle
Applying the Pythagoras Theorem
The area of the rectangle is
step 3
Find the area of the trapezoid
Step-by-step explanation:
Well in general, we can represent subtraction as:
"z" represents the difference, and it really just represents x with y taken away. So if we were to "give back" this y value, we should get "x".
This means that:
So one way to check, is adding the value that's being subtracted (y value) and the difference (z value), this should get you the value that is being subtracted from (x value). If you don't get the original value that's being subtracted from (x-value) then you know the answer you got is wrong.