Math # the length of hall is 8m more than its breath , if the perimeter of the hall is 40m , find the cost of laying a carpet at the cost of rupees 12 per sq.m.​

Given :-

• The length of hall is 8m more than its breath

• The perimeter of the hall is 40m

• The cost of laying carpet = 12 per sq. m

Solution :- Let the Breath be x mAccording to the question,

The Length of the hall = ( x + 8 )m

As we know that,

Perimeter of rectangle = 2 ( L + B )

As it is already given in the question,

The Perimeter of the hall = 40m

Now,

Put the required values in the formula,

40 = 2 ( x + 8 + x)

40 = 2 ( 2x + 8 )

40 = 4x + 16

40 - 16 = 4x

24 = 4x

x = 24/4

x = 6

Thus, The value of x = 6

Then,

The Breath of the hall = 6m

The length of the hall = 6 + 8 = 14m

Now,

Area of Rectangle = Length * Breath

Put the required values in the formula,

Area of Rectangular Hall = 6 * 14

Area of Rectangular Hall = 84m^2

Here,

The Cost of 1m^2 laying Carpet = Rs 12

Therefore,

The Cost of 84m^2 laying Carpet

= 84 * 12

= Rs1008

Hence, The Cost of 84m^2 laying Carpet is Rs. 1008
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