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

Area of the figure is 60.75 m²

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) =
`(1)/(2)(\text{Base})(\text{Height})`

=
`(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