Question

What is the area of this figure?

Answer 1

88 cm²

Explanation:

To find the area of the figure, we have to find the area of triangle and the area of two rectangles and then we need to add them.

Area of rectangle II:

length = 9 + 2

l = 11 cm

width = w = 5 cm

Area of rectangle II = length * width

= 11 *5

= 55 cm²

Area of rectangle III:

length = 9 cm

width = 3 cm

Area of rectangle III = 9 * 3

= 27 cm²

Area of triangle I:

base = b = 11 - 3 - 5

= 3 cm

altitude = h = 4 cm

`\boxed{\bf Area \ of \ triangle = (1)/(2)b*h}`

`\sf =(1)/(2)*3 * 4\\\\\\= 3*2\\\\= 6 \ cm^2`

Area of the figure = area of triangle I + area of rectangle II + area of rectangle III

= 6 + 55 + 27

= 88 cm²