Question

Sides of three square rooms measure 14 feet each, and sides of two square rooms measure 17 feet each. Which expression shows the total area of these five rooms? A. (3 × 14^2) + (2 × 17^2) B. (2 × 14^3) + (2 × 17^2) C. (3 × 17^2) + (2 × 14^2) D. (3 × 14^2) × (2 × 17^2)

Answer 1

Options A and D: (3 × 14^2) × (2 × 17^2)

Explanation:

The formula for calculate the area of square is the following:

`A=s^(2)`

Where s is the lenght of any side of the square (the four sides of a square are equal).

If three square rooms has sides that measure 14 feet each , then the total area of the three rooms can be expressed as:

`3(14ft)^(2)`

If two square rooms has sides that measure 17 feet each, then the total area of the three rooms can be expressed as:

`2(17ft)^(2)`

Therefore, you must add the areas to find the total area of these five rooms. Then, the answer is:

`3(14ft)^(2)+2(17ft)^(2)`

Answer 2

The correct answer is option A

(3 x 14^2) + (2 x 17^2)

Explanation:

Area of square = a^2

where 'a' is the side of the square

It is given that,

Sides of three square rooms measure 14 feet each, and sides of two square rooms measure 17 feet each.

To find the area square room with side 14 ft

Area of one square = a^2 = 14^2

There are 3 such square,

total area = 3 x 14^2

To find the area square room with side 14 ft

Area of one square = a^2 = 17^2

There are 2 such square,

total area = 2 x 17^2

To find the total area of five rooms

Total area = (3 x 14^2) + (2 x 17^2)

Therefore the correct answer is option A