Question

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 $6$ yd and width $5$ yd. The area formula for a rectangle is $A = l\times w$. So the area of the large rectangle $A_{1}=6\times5 = 30$ square - yards.

Step2: Calculate the area of the carpet (the small rectangle)

The small rectangle (carpet) has length $3$ yd and width $2$ yd. Using the area formula for a rectangle $A = l\times w$, the area of the small rectangle $A_{2}=3\times2=6$ 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 small rectangle. So $A = A_{1}-A_{2}=30 - 6=24$ square - yards.

Answer:

24