If the length of the rectangle is $24 c m,$ breadth is $(x + 5) c m$ and the area is $264 c m^{2}$ , then the breadth of the rectangle is

11 cm

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6 cm

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5 cm

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3 cm

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Solution

The correct option is A 11 cm
Given:
Length $= 24 c m$
Breadth $= (x + 5) c m$
Area $= 264 c m^{2}$
To find: The value of x
As we know,
$A r e a = l e n g t h \times b r e a d t h$
$⟹ 264 = 24 \times (x + 5) ⟹ 264 = 24 x + 120 ⟹ 24 x = 264 - 120 = 144 ⟹ x = 6 c m$
Breadth = $x$ + 5 = 6 + 5 = 11 cm

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If the length of the rectangle is 24 cm, breadth is (x+5) cm and the area is 264 cm2, then the breadth of the rectangle is

The correct option is A 11 cmGiven: Length =24 cm Breadth =(x+5) cm Area =264 cm2 To find: The value of x As we know, Area=length×breadth ⟹264=24×(x+5)⟹264=24x + 120⟹24x=264−120=144⟹x=6 cm Breadth = x + 5 = 6 + 5 = 11 cm

If the length of the rectangle is $24 c m,$ breadth is $(x + 5) c m$ and the area is $264 c m^{2}$ , then the breadth of the rectangle is