Carcass wrote:
In the figure below, the grid consists of unit squares. What is the area of the polygon?
Attachment:
screenshot.77.png
(A) 7
(B) 9
(C) 10
(D) 12
(E) 15
The great thing about the "fancy" quadrilaterals (squares, parallelograms, rectangles, rhombuses, AND trapezoids) is that they all have the same area formula.
Area = (base)(height)
In the case of a trapezoid, there are two bases (the two parallel sides are considered the bases).
So, what do we do?
We use
the average of the two bases This figure features a trapezoid.
The bottom base has length 5 and the top base has length 2
So, the average of the two bases = (5+2)/2 =
3.5So, the area of the figure = (base)(height) = (
3.5)(2)
= 7
Answer: A