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Standard VI

Physics

Clinical Thermometer

The length of...

Question

The length of a rectangle is $18 c m$ and its breadth is $10 c m$ . When the length is increased to $25 c m$ , what will be the breadth of the rectangle if the area remains the same?

7 c m

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7.1 c m

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7.2

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7.3 c m

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Solution

The correct option is C $7.2$
Length (l) of rectangle = 18 cm
Breadth (b) of rectangle = 10 cm
Area of rectangle = lb
$= 180 c m^{2}$
Increased Length $(l_{1})$ of rectangle
= 25 cm
Let increased breadth be $b_{1}$
Area $= l_{1} b_{1}$
$180 c m^{2} = 25 c m \times b_{1}$
$\Rightarrow b_{1} = 7.2 c m$
Length of Increased Breadth = 7.2 cm

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The length of a rectangle is 18 cm and its breadth is 10 cm. When the length is increased to 25 cm, what will be the breadth of the rectangle if the area remains the same?

The correct option is C 7.2Length (l) of rectangle = 18 cmBreadth (b) of rectangle = 10 cmArea of rectangle = lb=180cm2Increased Length (l1) of rectangle = 25 cmLet increased breadth be b1Area =l1b1180cm2=25cm×b1⇒b1=7.2cmLength of Increased Breadth = 7.2 cm

The length of a rectangle is $18 c m$ and its breadth is $10 c m$ . When the length is increased to $25 c m$ , what will be the breadth of the rectangle if the area remains the same?