NCERT | Interpreting Patterns | Intext | Pg.153 | Q6 — task. Mathematics CBSE, Class 8 New.

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If all the three rectangles are equal in dimension, then out the area of the region with slanting lines in the figure.

pattern - 5.PNG

Area of the region with slanting lines is given by.

$x^{2} + 2 x y$
$x (x - y)$
$x^{2} - x y$
$(x + 2 y) x - 3 x y$

By expanding the expressions, verify that all three expressions are equivalent. If \(x = 9\) and \(y = 1\), find the area of the shaded region.

If \(x = 9\) and \(y = 1\), the the area of the shaded region \(=\) sq.units.

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