Question

CONSTRUCTION Carlos is building a screen door. The height of the door is I foot more than twice its width. What is the width of the door if it is 7 feet high?​

Answer 1

3 feet

Explanation:

It mentions that the height of the door is 1 foot more than twice its width.

• height (h) = 2 × width (w) + 1 foot

The width of a door of height 7 feet will be :

• 7 feet = 2 × width (w) + 1 foot
• 2× width (w) = 6 feet
• width (w) = 3 feet

Answer 2

width = 3 feet

Explanation:

Let h be the height of the door

and w be its width

The statement “The height of the door is I foot more than twice its width”

can be translated mathematically like this : h = 2w + 1

Let’s solve the equation for w:

h = 2w + 1

⇔ 2w = h - 1

`\Leftrightarrow w=(h-1)/(2)`

now , if the door is 7 feet high then it’s width is equal to :

`\Rightarrow (7-1)/(2) =(6)/(2) =3 \ ft`