Question

A contractor isn't darling carpet in the new house direct angular living room has an area of 96 ft.² and the link is 12 feet less than three times the width of the room what are the dimensions of the room

Answer 1

The dimensions of the room is 8 feet × 12 feet.

Explanation:

The area of the house, A = 96 ft²

The link is 12 feet less than three times the width of the room .

Let the width of the room is x.

Length = 3x-12 ...(1)

The area of a rectangular room is given by :

A = lb

96 = (3x-12)x

`3x^2-12x-96=0\\\\x^2-4x-32=0\\\\x^2-8x+4x-32=0\\\\x(x-8)+4(x-8)\\\\(x+4)(x-8)=0\\\\x=-4,8`

Neglecting negative value, width = 8 feet

Put x = 8 in equation (1)

Length = 3(8) - 12

= 12 feet

Hence, the dimensions of the room is 8 feet × 12 feet.