Question

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

Answer 1

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.

Step-by-step 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

$A=14.4\times 10=144~\textup{square feet}.$

So, option (A) is correct.

Option (B) : 6 ft by 12 ft

Here, the area of the rectangular room is given by

$A=6\times 12=72\neq 144~\textup{square feet}.$

So, option (B) is incorrect.

Option (C) : 8 ft by 9 ft

Here, the area of the rectangular room is given by

$A=8\times 9=72\neq 144~\textup{square feet}.$

So, option (C) is incorrect.

Option (D) : 8 ft by 18 ft

Here, the area of the rectangular room is given by

$A=8\times 18=144~\textup{square feet}.$

So, option (D) is correct.

Option (E) : 9 ft by 16 ft

Here, the area of the rectangular room is given by

$A=9\times 16=144~\textup{square feet}.$

So, option (E) is correct.

Option (F) : 12 ft by 12 ft

Here, the area of the rectangular room is given by

$A=12\times 12=144~\textup{square feet}.$

So, option (F) is correct.

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

Answer 2

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