Question

A rectangular room must have a maximum area of 84 square feet. If the room is to be 8 feet wide, what is the longest the room can be?. . . 10.4. 10.5. 10.6. . do i just multiply and if so its 10.5

Answer 1

Option 2nd is correct

10.5 feet is the longest the room can be

Explanation:

Area of Rectangle(A) is given by:

`A = lw` ....[1]

where, l is the length and w is the width of the rectangle.

As per the statement:

A rectangular room must have a maximum area of 84 square feet.

⇒A = 84 square feet.

It is also given that If the room is to be 8 feet wide.

⇒ w = 8 feet

Substitute the given values in [1] we have;

`84 = 8l`

Divide both sides by 8 we have;

`10.5 = l`

or

l = 10.5 feet

Therefore, the longest the room can be 10.5 feet

Answer 2

Length of the room should be 10.5 feet.

Explanation:

The maximum area of a rectangular room is 84 square feet.

let the length of the room = x feet

Then area of the room = length × width

84 = length × 8 = 8x

Length x = 84/8 = 10.5 feet.

So the answer should be 10.5 feet