Question

arithmetic and algebra review finding the area of a rectilinear figure made from 2... find the area of the shape. (sides meet at right angles.)

Explanation:

Step1: Divide the shape into rectangles

We can divide the given shape into two rectangles. One rectangle has dimensions 2m by 2m and the other has dimensions 5m by 3m.

Step2: Calculate area of first rectangle

The area formula for a rectangle is $A = l\times w$. For the 2m by 2m rectangle, $A_1=2\times2 = 4$ square - meters.

Step3: Calculate area of second rectangle

For the 5m by 3m rectangle, $A_2 = 5\times3=15$ square - meters.

Step4: Calculate total area

The total area $A$ of the shape is the sum of the areas of the two rectangles, $A=A_1 + A_2=4 + 15=19$ square - meters.

Answer:

19