Question

You need to order carpet for a room that has a length that is twice its width. If the area of the room is 288 square feet, find the width of the room.
a) 10 ft
b) 13 ft
c) 16 ft
d) 12 ft
e) 14 ft
f) None of the above.

Answer 1

Answer: d) 12 ft

Step-by-step explanation:

Let x be the width of the room , the the length of the room will be 2x.

We consider the shape of room is rectangle.

We know that the area of rectangle is given by :-

$A=l\times w$, where l is length and w is width.

Given : Area of the room is 288 square feet

$\Rightarrow 288=2x\times x\\\\\Rightarrow\ 2x^2=288\\\\\Rightarrow\ x^2=144\\\\\Rightarrow\ x=-\sqrt{144}=\pm12$

Since, width cannot be negative, so the width of the room = 12 feet.