Question

Find the area of the figure. (Use “sq units” as the units of measure) Hints: Break it down into the triangle and 2 rectangles. Pay attention to the measurements.

Answer 1

Answer:

Area of the figure is 60.75 m²

Step-by-step explanation:

If we divide the given figure in three parts,

Area of the figure = Area of rectangle (1) + Area of rectangle (2) + Area of triangle (3)

Area of rectangle (1) = (Length × width)

                                  = 3 × 4.5

                                  = 13.5 m²

Area of rectangle (2) = (12 × 3)

                                  = 36 m²

Area of triangle (3) = $\frac{1}{2}(\text{Base})(\text{Height})$

                               = $\frac{1}{2}(7.5)(3)$

                               = 11.25 m²

Area of the complete figure = 13.5 + 36 + 11.25

                                              = 60.75 m²

Therefore, area of the figure is 60.75 m²