Question

.Find the area of the figure

Answer 1

Area of the figure = 171 in²

Explanation:

Composite figure given in the picture comprises of three figures, two right triangles and one rectangle.

Area of the composite figure = Area of two right triangles + Area of the rectangle at the center

Area of one right triangle =
`(1)/(2)(\text{Base})(\text{Height})`

=
`(1)/(2)(12)(9)`

= 54 in²

Area of the rectangle = Length × Width

= 7 × 9

= 63 in²

Area of the composite figure = 2(54) + 63

= 108 + 63

= 171 in²