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

To find the width of the room, use the formula for the area of a rectangle: length x width = area. Substitute the values given in the problem and solve for the width.

Step-by-step explanation:

To find the width of the room, we can use the formula for the area of a rectangle: length x width = area. Let's assign the width of the room as 'x'. The length of the room is given as twice the width, so the length can be represented as '2x'. We are also given that the area of the room is 288 square feet. Substituting the values into the formula, we get: 2x * x = 288. Simplifying this equation gives us x² = 144. Taking the square root of both sides, we find that the width of the room is 12 feet.

Answer 2

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* w`, where l is length and w is width.

Given : Area of the room is 288 square feet

`\Rightarrow 288=2x* x\\\\\Rightarrow\ 2x^2=288\\\\\Rightarrow\ x^2=144\\\\\Rightarrow\ x=-√(144)=\pm12`

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