Question

perimeter, area, and volume
finding the area of a rectilinear figure made from 2 rectangles
find the area of the shape.
(sides meet at right angles.)

Explanation:

Step1: Calculate area of top - rectangle

The top - rectangle has length $3$ ft and width $2$ ft. Using the formula for the area of a rectangle $A = l\times w$, we have $A_1=3\times2 = 6$ square feet.

Step2: Calculate area of bottom - rectangle

The bottom - rectangle has length $6$ ft and width $2$ ft. Using the formula for the area of a rectangle $A = l\times w$, we have $A_2=6\times2=12$ square feet.

Step3: Calculate total area

The total area of the shape is the sum of the areas of the two rectangles. So $A = A_1 + A_2=6 + 12=18$ square feet.

Answer:

18 square feet