Answer:
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
