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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)

Verified Answer :

keybaby101

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

the 13 foot square = 1313 = 13^2 

for three squares= 3 13^2 

the 15 foot square = 1515 = 15^2 

for 2 squares = 2 15^2 

Add the values together and you get A as the answer

Answer

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.



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