Question

The length of a hall is 8 m more than its breadth. If the perimeter of the hall is 40 m, find the cost
of laying a carpet at the cost of 7 12 per sq. m.​

Answer 1

Step-by-step explanation:

Let the breadth be : X m

then,the length be : (X+8)m

perimeter: 40m

2(length+breadth) = 40m

2(X+8+X) = 40m

2x+16+2x =40m

4x+16 = 40m

4x= 40-16

4x= 24

X= 24/4

X= 6

therefore,breadth=6m and length=6+8=14m

Area= length×breadth

= 14m×6m

= 84m²

cost of laying carpet is 84×12

= 1008/-

Answer 2

$\bf{\large{Answer}}$

Required cost of laying the carpet is Rs₹ 1008.

Step-by-step explanation:

Perimeter of a rectangle = 2( length + breadth )

Here,

Length of the hall is 8 m more than its breadth. Let the breadth be a m, then length should be a + 8 m.

According to the question perimeter of hall is 49 m.

= > 2( a + a + 8 ) m = 40 m

= > ( 2a + 8 ) m = 20 m

= > 2a m = 20 m - 8 m

= > a m = 6 m

Thus, breadth of the hall is 6 m and length is 8 m + 6 m Or 14 m.

= > Area of the hall = length x breadth

= > 14 m x 6 m

= > 84 m^2

Thus,

= > cost of laying the carpet = area to be covered x rate of laying

= > cost of laying the carpet = 84 m^2 x 12 / m^2 = 1008 m^2.

Hence the required cost of laying the carpet is Rs₹ 1008.