Question

ji - yoon is designing a room. the design is shown below. what is the area of the room?

Explanation:

Step1: Find the missing length of the larger rectangle

The length of the larger rectangle is \(25\) ft, and the length of the smaller rectangle's base is \(25 - 19=6\) ft.

Step2: Calculate the area of the larger rectangle

The formula for the area of a rectangle is \(A = l\times w\). For the larger rectangle with \(l = 19\) ft and \(w = 7 + 4=11\) ft, \(A_1=19\times11 = 209\) square - feet.

Step3: Calculate the area of the smaller rectangle

For the smaller rectangle with \(l = 6\) ft and \(w = 4\) ft, \(A_2 = 6\times4=24\) square - feet.

Step4: Calculate the total area of the room

The total area \(A=A_1 + A_2\). So \(A=209+24 = 233\) square - feet.

Answer:

\(233\) square - feet