Question

For this question, you will be asked to demonstrate how we can determine the answer without using a calculator: Kenton knows that a wall unit he bought is √107 ft long and the dimensions of the living room are 9 ft wide by 11 ft long. On which wall(s) could Kenton place this wall unit?

Answer 1

The wall unit should be placed on the wall of length 11 ft.

Explanation:

Given that the dimension of the room = length by width

= 11 ft by 9 ft

Applying the rule of surd to the dimensions of the room, we have:

length = 11 =
`√(121)` ft

width = 9 =
`√(81)` ft

But, the length of the wall unit =
`√(107)` ft

Comparing the dimensions with the length of wall unit, it can be observed that:

i. The length of the wall is greater than that of the wall unit.

ii. The width of the wall is lesser than the length of the wall unit.

Therefore, the wall unit should be placed on the wall of length 11 ft.