Question

What is the area of this figure?

Answer 1

Area of the figure is 102 cm²

Step-by-step explanation:

• Step 1: Find the area of the square with side = 6 cm.

Area of the square = (side)² = 6² = 36 cm²

• Step 2: Find the area of the trapezoid.

Length of parallel side 1 = 7 cm

Length of parallel side 2 = 21 - 6 = 15 cm

Height = 6 cm

⇒ Area of the trapezoid = 1/2 × (Sum of parallel sides) × height

                                        = 1/2 × (7 + 15) × 6

                                        = 1/2 × 22 × 6 = 66 cm²

• Step 3: Find the area of the figure.

Area of the figure = Area of the square + Area of the trapezoid

                             = 36 + 66 = 102 cm²

Answer 2

Answer:

Area of the figure is 102 cm²

Step-by-step explanation: