Length of a recatngle exceeds its breadth by 4 m. If the perimeter of the rectangle is 84 m, find its length and breadth.

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Solution

Let the breadth be x and length be x + 4.
According to the question, $2 [x + (x + 4)] = 84$
$\Rightarrow 2 [2 x + 4] = 84$
$\Rightarrow 4 x + 8 = 84$
$\Rightarrow 4 x = 76$
$\Rightarrow x = 19$
Thus, breadth = 19 m
and length = 19 + 4 = 23 m.

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Length of a recatngle exceeds its breadth by 4 m. If the perimeter of the rectangle is 84 m, find its length and breadth.

Let the breadth be x and length be x + 4. According to the question, 2[x+(x+4)]=84 ⇒2[2x+4]=84 ⇒4x+8=84 ⇒ 4x=76 ⇒ x=19 Thus, breadth = 19 m and length = 19 + 4 = 23 m.

Let the breadth be x and length be x + 4.
According to the question, $2 [x + (x + 4)] = 84$
$\Rightarrow 2 [2 x + 4] = 84$
$\Rightarrow 4 x + 8 = 84$
$\Rightarrow 4 x = 76$
$\Rightarrow x = 19$
Thus, breadth = 19 m
and length = 19 + 4 = 23 m.