Question

A rug measures 4m by 6m. It is placed in the centre of a room of area 48m^2. There is now a strip of bare wooden floor that is the same width all around the carpet. How big is the room?

Answer 1

Good morning dear

Have a wonderful day

Answer 2

Step-by-step explanation:

width = X

carpet length= 6m

carpet breadth = 4m

length of room = 6+2x

breadth of room = 4+2x

area of room = length×breadth

48= (6+2x)(4+2x)

4x^2+20x+24=48

x^2+5x+6= 12

x^2+5x-6= 0

(x+6)(x-1) = 0

X+6=0 x-1=0

X=-6 X= 1

X never be negative so X= 1m

length of room = 6+2x= 6+2(1)=8m

breadth of room = 4+2x= 4+2(1)= 6m

the room measures 6mby 8m