What is the area of this figure? Please help
2 answers:
Answer:
<u>369.5 ft²</u>
Step-by-step 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
- <u>369.5 ft²</u>
Answer:
369.5 ft²
Step-by-step explanation:
Separate the figure into 2 rectangles and 2 triangles.
(see attached image)
<u>Area 1</u>
Area of a rectangle = width × length
= 4 × 5
= 20 ft²
<u>Area 2</u>
Area of a rectangle = width × length
= 8 × (4 + 4 + 5)
= 8 × 13
= 104 ft²
<u>Area 3</u>
Area of a triangle = 1/2 × base × height
= 1/2 × (6 + 4 + 5 + 4 - 6) × 23
= 1/2 × 13 × 23
= 149.5 ft²
<u>Area 4</u>
Area of a triangle = 1/2 × base × height
= 1/2 × 8 × (21 + 8 - 5)
= 1/2 × 8 × 24
= 96 ft²
<u>Total Area</u>
Area 1 + Area 2 + Area 3 + Area 2 = 20 + 104 + 149.5 + 96
= 369.5 ft²
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