Question

1. find the area of the figure. 7. 9. you add a 4 - foot - by - 4 - foot. find the area of the new

Explanation:

Step1: Divide the first figure into a rectangle and a triangle

The rectangle has sides 4 cm and 4 cm, and the triangle has base 4 cm and height (8 - 4)=4 cm.
The area of the rectangle $A_{1}=4\times4 = 16$ $cm^{2}$, and the area of the triangle $A_{2}=\frac{1}{2}\times4\times4=8$ $cm^{2}$.

Step2: Calculate the total area of the first figure

$A = A_{1}+A_{2}=16 + 8=24$ $cm^{2}$.

Step3: Divide the second figure into a rectangle and a trapezoid

The rectangle has sides 5 ft and 8 ft, and the trapezoid has bases 4 ft and 8 ft and height 4 ft.
The area of the rectangle $A_{3}=5\times8 = 40$ $ft^{2}$, and the area of the trapezoid $A_{4}=\frac{(4 + 8)\times4}{2}=24$ $ft^{2}$.

Step4: Calculate the total area of the second figure

$A'=A_{3}+A_{4}=40+24 = 64$ $ft^{2}$.

Answer:

The area of the first - figure is 24 $cm^{2}$ and the area of the second - figure is 64 $ft^{2}$.