The length of a rectangle is 10cm and breath is 5 cm. If the breadth is decreased by 1cm, the decrease in area is equal to

$8 c m^{2}$

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$10 c m^{2}$

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$12 c m^{2}$

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$11 c m^{2}$

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Solution

The correct option is B
$10 c m^{2}$

Let ABCD be the rectangle with AB = 10cm and CB = 5cm

Let the breadth be decreased by 1 cm with AE = 1cm

Area of original rectangle ABCD = $10 \times 5 c m^{2}$

Area of new rectangle EFCD = $10 \times (5 - 1)$

$= 10 \times 5 - 10 \times 1$

Hence, decrease in area $= 10 \times 1 = 10 c m^{2}$

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The length of a rectangle is 10cm and breath is 5 cm. If the breadth is decreased by 1cm, the decrease in area is equal to

The correct option is B 10 cm2 Let ABCD be the rectangle with AB = 10cm and CB = 5cm Let the breadth be decreased by 1 cm with AE = 1cm Area of original rectangle ABCD = 10×5 cm2 Area of new rectangle EFCD = 10×(5−1) =10×5−10×1 Hence, decrease in area =10×1=10 cm2