Question

sides of three square rooms measure 13 feet each, and sides of two square rooms measure 15 feet each. which exp 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)

Explanation:

Step1: Recall area formula for square

The area of a square is $A = s^2$, where $s$ is the side - length of the square.

Step2: Calculate area of 13 - foot side rooms

For the three square rooms with side - length $s = 13$ feet, the total area of these three rooms is $3\times13^{2}$ (since each room has area $13^{2}$ and there are 3 of them).

Step3: Calculate area of 15 - foot side rooms

For the two square rooms with side - length $s = 15$ feet, the total area of these two rooms is $2\times15^{2}$ (since each room has area $15^{2}$ and there are 2 of them).

Step4: Find total area of all five rooms

The total area of all five rooms is the sum of the areas of the 13 - foot side rooms and the 15 - foot side rooms, which is $(3\times13^{2})+(2\times15^{2})$.

Answer:

A. $(3\times13^{2})+(2\times15^{2})$