Question

Sides of three square rooms measure 13 feet each, and sides of two square rooms measure 15 feet each. Which expression shows the total area of these five rooms?

a.(3 × 13^2) + (2 × 15^2)
b.(2 × 13^3) + (2 × 15^2)
c.(3 × 15^2) + (2 × 13^2)
d.(3 × 13^2) × (2 × 15^2)

Answer 1

the area of a square is the product of two of its sides

the 13 foot square = 13*13 = 13^2

for three squares= 3* 13^2

the 15 foot square = 15*15 = 15^2

for 2 squares = 2 * 15^2

Add the values together and you get A as the answer

Answer 2

Find out the total area of these five rooms .

To prove

Formula

Area of a square = a²

Where a is the side of a square.

As given

Sides of three square rooms measure 13 feet each.

Thus

Area of the Three rooms = 3 × 13²

As given

sides of two square rooms measure 15 feet each.,

Area of two rooms = 2 × 15²

Total area of the five rooms = Area of the Three rooms + Area of two rooms

= 3 × 13² + 2 × 15²

= 3 × 169 + 2 × 225

= 507 + 450

= 957 unit²

Therefore the total area of the five rooms be 957 unit².

Thus Option (a) is correct.