A room has an area of 266ft2. One dimension is 5ft more than the other. Find the dimensions of the room

19ft by 14 ft

Step-by-step explanation:

Let the short side be x, the other dimension will be x+5

Taking the room to be rectangular in shape, area is given by

A=lw

A=x (x+5) = x²+5x

Given the area as 266 ft² then

x²+5x=266

x²+5x-266=0

By factorization, two numbers whose product is - 266 while sum is + 5 are - 14 and 19 hence

(x-14) (x+19) = 0

x-14=0 hence x=14

x+19=0 hence x=-19

Since x can't be negative, x is 14 ft

The other side will be x+5=14+5=19 ft