the floor of a room has carpet and tile. find the area of the part with tile. (sides meet at right angles.)

Explanation:

Step1: Calculate the area of the large rectangle

The large rectangle has length $1 + 3+1=5$ yards and width $5$ yards. The area formula for a rectangle is $A = l\times w$. So the area of the large rectangle $A_{1}=5\times5 = 25$ square - yards.

Step2: Calculate the area of the carpet - rectangle

The carpet - rectangle has length $3$ yards and width $2$ yards. Using the area formula $A = l\times w$, the area of the carpet $A_{2}=3\times2=6$ square - yards.

Step3: Calculate the area of the tile part

The area of the tile part $A$ is the area of the large rectangle minus the area of the carpet rectangle. So $A = A_{1}-A_{2}=25 - 6=19$ square - yards.

Answer:

19