Question

geometry, measurement, data analysis
area of a piece - wise rectangular figure
find the area of the figure. (sides meet at right angles.)

Explanation:

Step1: Divide the figure into rectangles

We can divide the given figure into two rectangles. One rectangle has dimensions 3 in by 5 in and the other has dimensions 7 in by (9 - 5)=4 in.

Step2: Calculate the area of the first rectangle

The area formula for a rectangle is $A = l\times w$. For the first rectangle with length $l = 3$ in and width $w = 5$ in, $A_1=3\times5 = 15$ in².

Step3: Calculate the area of the second rectangle

For the second rectangle with length $l = 7$ in and width $w = 4$ in, $A_2=7\times4=28$ in².

Step4: Calculate the total area

The total area $A$ of the figure is the sum of the areas of the two rectangles, $A=A_1 + A_2=15 + 28=43$ in².

Answer:

43 in²