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37 votes
What is the area of this figure? Please help

What is the area of this figure? Please help-example-1
User Yavanosta
by
3.0k points

2 Answers

25 votes
25 votes

Answer:

369.5 ft²

Explanation:

Area of figure :

Area (rectangle 1) + Area (rectangle 2) + Area (triangle 1) + Area (triangle 2)

  • 5 x 4 + 13 x 8 + 1/2 x 23 x 13 + 1/2 x 24 x 8
  • 20 + 104 + 149.5 + 96
  • 124 + 96 + 149.5
  • 220 + 149.5
  • 369.5 ft²
What is the area of this figure? Please help-example-1
User Vasiliy Kulakov
by
2.7k points
16 votes
16 votes

Answer:

369.5 ft²

Explanation:

Separate the figure into 2 rectangles and 2 triangles.

(see attached image)

Area 1

Area of a rectangle = width × length

= 4 × 5

= 20 ft²

Area 2

Area of a rectangle = width × length

= 8 × (4 + 4 + 5)

= 8 × 13

= 104 ft²

Area 3

Area of a triangle = 1/2 × base × height

= 1/2 × (6 + 4 + 5 + 4 - 6) × 23

= 1/2 × 13 × 23

= 149.5 ft²

Area 4

Area of a triangle = 1/2 × base × height

= 1/2 × 8 × (21 + 8 - 5)

= 1/2 × 8 × 24

= 96 ft²

Total Area

Area 1 + Area 2 + Area 3 + Area 2 = 20 + 104 + 149.5 + 96

= 369.5 ft²

What is the area of this figure? Please help-example-1
User Ptha
by
2.7k points