Question

the length of a rectangular field is 8 meters less than the twice breath.if the perimeter of the rectangular field is 56.find its length and breath

Answer 1

Let breadth of rectangle be x m

Then given that length = 2x-8 m

Also perimeter = 56 m (given)

We know that perimeter of a rectangle = 2(length + breadth)

On putting the values in the formula,

56= 2(x + 2x - 8)

$\frac{56}{2}$ = 3x - 8

28 = 3x - 8

36= 3x

⇒ x = 12

Breadth = 12 m

Hence length 2x - 8 = 2*12 - 8

= 24 - 8

Length = 16m

Answer 2

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Let the breadth = x

Length = 2x-8

Perimeter = 2×(l+b)

= 2×(x+2x-8)

= 2×(3x-8)

According to problem

2×(3x-8)=56

3x-8= $\cancel\dfrac{56}{2}$

3x-8=28

3x=28+8

3x=36

x=$\cancel\dfrac{36}{3}$

$\therefore$Breadth= x=12m

$\therefore$Length= 2x-8=2×12-8=24-8=16m