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I came across the above problem but do not know how to tackle it. Can someone point me in the right direction? Thanks in advance for your time.

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3 Answers 3

Look at the no. of squares in one triangle. Express the total no. of squares in some form using it.

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How many squares are there on each side of the line?

How many squares are there all together?

Which of the four given equations is related to this?

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I counted that total number of squares on each sides of the line are $11$ and $8$ which means there are total $88$ squares in total.But after that i can not relate it with one of the four given relations... – learner Jan 28 '13 at 16:50
@learner Think of it not in terms of this exact image, but for such triangles in general. Let $n$ be the number of squares across the leg of one of the triangles of squares... – Jonathan Christensen Jan 28 '13 at 16:51

Total number of squares in the upper(lower) triangle = $1+2+3+..n$

The upper and lower triangles make a rectangle.

$2\times($number of squares in the triangle$)=$ total number of squares in the rectangle

$=$ number of square(vertically) $ \times$ number of squares horizontally

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