Question

What is the area of this figure? Please help

Answer 1

Answer:

369.5 ft²

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
• 369.5 ft²

Answer 2

Answer:

369.5 ft²

Step-by-step 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