Question

HELP PLEASE!!!! Posting a lot of these for a lot of points!

Answer 1

146 m²

Explanation:

Formulae

Area of a rectangle = width x length

Area of a triangle = 1/2 x base x height

Divide the figure into 2 rectangles and a triangle (see attachment).

Area of Rectangle 1 = 4 x 5 = 20 m²

Area of Rectangle 2 = (3 + 4) x (20 - 5) = 105 m²

Area of triangle 3 = 1/2 x (21 + 5 - 20) x (3 + 4) = 21 m²

Total area = 20 + 105 + 21 = 146 m²

Answer 2

Explanation:

Area of figure I = length *width

= 4 * 5

= 20 m²

Figure II is a trapzium.

a and b are the parallel sides. a = 21 m

b = 20 - 5 = 15 m

h = 3 + 4 = 7 m

`\text{area of figure 2 = $((a + b)*h)/(2)$}`

`=((21+15)*7)/(2)\\\\\\=(36*7)/(2)\\\\\\= 18*7\\\\= 126 \ m^(2)`

Area of the figure = 20 + 126

= 146 m²