Find the area of the trapezoid by decomposing it into other shapes.
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Answer:
The area of the polynomial is 35 square unit.
Step-by-step explanation:
It is given that area of the polygon WXYZ with its vertices at W(–3, –2), X(–3, 5), Y(2, 5), and Z(2, –2).
From the below graph it is noticed that the given polynomial is a rectangle with length 5 and width 7.
The distance formula
Using the above formula we get,
The length of opposing sides are equal.
Using the Pythagoras theorem, the length of diagonal WY and XZ are
Since the length of the diagonal are same, therefore the given polygon is a rectangle.
The area of a rectangle is
Where l is length and w is width.
The area of given polynomial is
Therefore the area of the polynomial is 35 square unit.
