The length of the shaded rectangle is (1/10) of the bigger rectangle and its breadth is 0.001 times the bigger rectangle . If the area of the bigger rectangle is 10000 $m^{2}$ . Find the area of the shaded rectangle. [4 MARKS]

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Solution

Formula: 1 Mark
Steps: 2 Marks
Answer: 1 Mark

Let the length and breadth of the bigger rectangle be $^{'} a^{'}$ m and $^{'} b^{'}$ m respectively

Then, the length of the shaded rectangle is (0.1 a)m.

Then, the breadth of the shaded rectangle is (0.001 b)m.

Area of the given bigger rectangle = ab metres. = 10000 $m^{2}$

Area of the shaded rectangle = (0.1a) $\times$ (0.001b)

= (0.0001) $\times$ (ab)

= (0.0001) $\times$ (10000)

= $1 m^{2}$

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The length of the shaded rectangle is (1/10) of the bigger rectangle and its breadth is 0.001 times the bigger rectangle . If the area of the bigger rectangle is 10000 m2. Find the area of the shaded rectangle. [4 MARKS]

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