Question

Length of a rectangle is four less than the thrice of its breadth. The perimeter of the rectangle is 110.Obtain a pair of linear equation in two variables from the given information.

Answer 1

Acc to the question, Length of a rectangle is four less than the thrice of its breadth.

Let the length be L and breadth be B

or, L = 3B - 4.

The perimeter of the rectangle is 110.

That means 2*(L + B) = 110.

or, 2*((3B - 4) + B) = 110

or, 2*(4B - 4) = 110

or, 8(B - 1) = 110

or, B - 1 = 110/8 = 27.5

or, B = 28.5; L = 3B - 4 = 3*28.5 - 4 = 81.5

Thus, Length = 81.5; Breadth = 28.5 [But this is not the answer]

We're just asked to write the equations.

The equations are:

L - 3B = - 4 & L + B = 55

Answer 2

HELLO DEAR,

let the length of rectangle be x unit.

and breath be y unit.

according to questions,

Length of a rectangle is four less than the thrice of its breadth.

x = 3y - 4

x - 3y + 4 = 0--------( 1 )

now the perimeter of rectangle = 2(x + y).

perimeter = 110(given)

110 = 2(x + y)

x + y = 55-------( 2 )

Hence, the required equation are given.

I HOPE ITS HELP YOU DEAR,

THANKS