Find the missing measurement in the figure.

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Solution

Area of the rectangle $= 105$ sq.cm

$⟹ L e n g t h \times B r e a d t h = 105$

$⟹ 15 \times B r e a d t h = 105$

$⟹ B r e a d t h = \frac{105}{15} = 7$

Missing measurement $= 7 c m$

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If $△ A B C$ and $△ P Q R$ in the below figure are similar, find the missing length x and the measure of $∠ R$

l = 8 c m

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