Question

find the area of the figure. (sides meet at right angles.)

Explanation:

Step1: Divide the figure into three rectangles

The figure can be divided into three rectangles.

Step2: Calculate the area of each rectangle

• For the top rectangle: length $l = 4\mathrm{ft}$, width $w = 3\mathrm{ft}$, area $A_1=l\times w=4\times3 = 12\mathrm{ft}^2$.
• For the middle rectangle: length $l=(2 + 2)\mathrm{ft}=4\mathrm{ft}$, width $w=(4 + 2)\mathrm{ft}=6\mathrm{ft}$, area $A_2=l\times w=4\times6 = 24\mathrm{ft}^2$.
• For the bottom rectangle: length $l = 4\mathrm{ft}$, width $w = 3\mathrm{ft}$, area $A_3=l\times w=4\times3=12\mathrm{ft}^2$.

Step3: Sum up the areas of the three rectangles

The total area $A=A_1 + A_2+A_3=12 + 24+12=60\mathrm{ft}^2$.

Answer:

$60\mathrm{ft}^2$