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# In the figure below, the grid consists of unit squares. What is

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Re: In the figure below, the grid consists of unit squares. What is [#permalink]
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Kudos
In the figure below, the grid consists of unit squares. What is the area of the polygon?

(A) 7
(B) 9
(C) 10
(D) 12
(E) 15

Nova GMAT

Nice question:

We can see that the figure is a trapezoidal.

hence the formula will be : 1/2*(sum of parallel sides)*(distance between the parallel sides).

Since the square are unit squares.

Hence,

Area = 1/2*(2+5)*2 = 7

+1 Kudos if it helps
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Re: In the figure below, the grid consists of unit squares. What is [#permalink]
1
Kudos
We can also solve this question just by observation:

Notice that their are 5 Complete squares in this area. Their area in total = 1*5 = 5
There are 2 half squares on the left (two right angle triangles) whose area add up to area of 1 square = 1
On the right, there is one right angle triangle (whose base is 1 and height is 2). We can either calculate its area as 1/2 * 1 * 2 OR we can observe carefully that its area would be equal to that of one complete square. Area = 1

So total area = 5+1+1 = 7.