Question

Kamal’s bedroom has an area of 120 square feet. The width of the room is 5/6 the length of the room. What are the dimensions of Kamal’s bedroom?

Answer 1

the length of the room is 12 ft

the width of the room is 10 ft

Answer 2

Let
x----------> the length of the room
y----------> the width of the room

we know that
x*y=120---------> equation 1
y=(5/6)x--------> equation 2

substitute 2 in 1
x*[(5/6)x]=120------> (5/6)x²=120-----> x²=120*6/5-----> x²=144
x=12 ft
y=(5/6)*12-----> y=10 ft

the answer is
the dimensions of Kamal’s bedroom are
the length of the room is 12 ft
the width of the room is 10 ft