Question

what is the area of this figure?
5 ft
4 ft
7 ft
6 ft
9 ft
8 ft

Explanation:

Step1: Split figure into two rectangles

We can divide the shape into a top-left rectangle and a bottom-right rectangle.

Step2: Find dimensions of top rectangle

Height of top rectangle: $7 - 4 = 3$ ft, width = 6 ft.
Area of top rectangle: $6 \times 3 = 18$ sq ft

Step3: Find dimensions of bottom rectangle

Height of bottom rectangle: $9 + 3 = 12$ ft, width = 8 ft.
Area of bottom rectangle: $8 \times 12 = 96$ sq ft

Step4: Subtract overlapping small square

Overlap square dimensions: $(8 - 5) \times 3 = 3 \times 3 = 9$ sq ft

Step5: Calculate total area

Total Area = Area of top + Area of bottom - Overlap
$18 + 96 - 9 = 105$ sq ft

Answer:

105 square feet