Question

Length of the rectangle be exceeds it's breadth by 4 .if perimeter of the rectangle is 84 find length and breadth

Answer 1

So breadth of rectangle=19

Length of rectangle=23

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Answer 2

✬ Length = 23 ✬

✬ Breadth = 19 ✬

Step-by-step explanation:

Given:

• Length of a rectangle exceeds its breadth by 4.
• Perimeter of the rectangle is 84.

To Find:

• What is the measure and length & breadth of rectangle ?

Solution: Let the breadth of rectangle be x. Therefore,

➟ Length of rectangle = 4 more than breadth

➟ Length = (x + 4)

As we know that ,

★ Perimeter of Rectangle = 2 ( Length + Breadth ) ★

A/q

• Perimeter = 84

$\implies{\rm }$ 84 = 2 ( x + 4 + x )

$\implies{\rm }$ 84 = 2 $\times$ ( 2x + 4 )

$\implies{\rm }$ 84 = 4x + 8

$\implies{\rm }$ 84 – 8 = 4x

$\implies{\rm }$ 76 = 4x

$\implies{\rm }$ 76/4 = x

$\implies{\rm }$ 19 = x

Hence :-

➟ Length of rectangle = (x + 4) = 19+4 = 23

➟ Breadth of rectangle = x = 19

________________________

★ Verification ★

➙ 2(Length + Breadth) = 84

➙ 2(23 + 19) = 84

➙ 2 $\times$ 42 = 84

➙ 84 = 84

[ Verified ]