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?

Answer 1

3(14²) + 2(17²)
the area of each square room with 14 feet is 196

196 times 3 is 588

the area of each square room with 17 feet is 289

289 times 2 is 578

so the total is 1166

Answer 2

The total area of the five rooms is 1166 feet² .

Explanation:

Formula

Area of square = a²

Where a is the side of the square .

As given

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

Total area = Area of three square rooms + Area of two square rooms

= 3 × 14× 14 + 2 × 17 × 17

= 588 + 578

= 1166 feet²

Therefore the total area of the five rooms is 1166 feet² .