Question

The floor of Aisha’s rectangular bedroom has an area of 144. Which are possible dimensions of her bedroom? Check all that apply.

14.4 ft by 10 ft
6 ft by 12 ft
8 ft by 9 ft
8 ft by 18 ft
9 ft by 16 ft
12 ft by 12 ft

Answer 1

14.4 by 10, 8x18, 9x16 and 12x12

Answer 2

Answer: The correct options are

(A) 14.4 ft by 10 ft.

(D) 8 ft by 18 ft.

(E) 9 ft by 16 ft.

(F) 12 ft by 12 ft.

Explanation: Given that the floor of Aisha’s rectangular bedroom has an area of 144 square feet.

we are to select all the possible dimensions of her bedroom.

We know that the area of a rectangle is the product of its length and width.

Option (A) : 14.4 ft by 10 ft

Here, the area of the rectangular room is given by

`A=14.4* 10=144~\textup{square feet}.`

So, option (A) is correct.

Option (B) : 6 ft by 12 ft

Here, the area of the rectangular room is given by

`A=6* 12=72\\eq 144~\textup{square feet}.`

So, option (B) is incorrect.

Option (C) : 8 ft by 9 ft

Here, the area of the rectangular room is given by

`A=8* 9=72\\eq 144~\textup{square feet}.`

So, option (C) is incorrect.

Option (D) : 8 ft by 18 ft

Here, the area of the rectangular room is given by

`A=8* 18=144~\textup{square feet}.`

So, option (D) is correct.

Option (E) : 9 ft by 16 ft

Here, the area of the rectangular room is given by

`A=9* 16=144~\textup{square feet}.`

So, option (E) is correct.

Option (F) : 12 ft by 12 ft

Here, the area of the rectangular room is given by

`A=12* 12=144~\textup{square feet}.`

So, option (F) is correct.

Thus, correct options are (A), (D), (E) and (F).