Question

Find the area of the figure. Show work and explain please.

Answer 1

464 units²

Step-by-step explanation:

Part A

Length × Width = 8 × 16 = 128 units²

Part B

Length × Width = 24 × 8 = 192 units²

Part C

Length × Width = 12 × 4 = 48 units²

Part D

Length × Width = 24 × 4 = 96 units²

Total Area: 128 + 192 + 48 + 96 = 464 units²

Answer 2

464 units²

Step-by-step explanation:

The quickest way to determine the area of the figure is to calculate the area of the total rectangle, then subtract the missing parts.

(see attached diagram)

Total area of the rectangle = width × length

= 24 × (16 + 4 + 4)

= 24 × 24 ← the shape is actually a square!

= 576 units²

Missing Area 1

Top left square = 8 × 8

= 64 units²

Missing Area 2

Bottom right rectangle = 4 × 12

= 48 units²

Total area = area of rectangle - missing area 1 - missing area 2

= 576 - 64 - 48

= 512 - 48

= 464 units²