Question

the length of a hall exist its breadth by 12if the perimeter of the hall is 76, find the cost of carpeting it at rupees 4 per metre square​

Answer 1

Answer:

Solutions :-

Given :

Perimeter of hall = 76 m

Cost of carpeting = Rs 4/m²

Let the breadth be x

Length = x + 12

Find the Length and breadth of hall :-

Perimeter of rectangle = 2 (Length + Breadth)

=> 76 = 2(x + x + 12)

=> 76 = 2x + 2x + 24

=> 76 - 24 = 4x

=> 52 = 4x

=> x = 52/4 = 13

Therefore,

Breadth = x = 13 m

Length = x + 12 = 13 + 12 = 25 m

Find the Area of hall :-

Area of rectangle = (Length × Breadth= sq. unit

= (25 × 13) m²

= 325 m²

Find the cost of carpeting it at rs 4 per m² :-

1 m² = Rs 4

325 m² = Rs 4 × 325 = Rs 1300

Hence,

Cost of carpeting the hall = Rs 1300