Question

Please help with this 8-9

Answer 1

8) b. 15 m²

9) c. 63.5 ft²

Explanation:

Area of composite figure:

8) To find the area of the composite figure, we have to add the area of rectangle, area of the top triangle and the area of the below triangle.

Rectangle:

length = 3m

width = 2.5 m

`\boxed{\text{\bf Area of rectangle = length * width}}`

= 3 * 2.5

= 7.5 m²

Area of triangle:

`\boxed{\text{\bf Area of triangle =$ (1)/(2)*base*height$}}`

Triangle1:

base = 3 m ; height = 1.5 m

`\sf Area \ of \ triangle1 = (1)/(2)*3*1.5`

`= 2.25 \ m^2`

Triangle2:

base = 3 m ; height = 2.5 + 1 = 3.5 m

`\sf Area \ of \ triangle2 = (1)/(2)*3*3.5`

= 5.25 m²

Area of the figure = 7.5 + 2.25 + 5.25

= 15 m²

_______________________________________________________

9) To find area of the given area, add the area of rectangle1 and area of rectangle2.

length = 5 ft ; width = 5.5 ft

Rectangle1:

Area of rectangle1 = 5 * 5.5

= 27.5 ft²

Rectangle2:

length = 8ft

width = 10 - 5.5

= 4.5 ft²

Area of rectangle2 = 8 * 4.5

= 36 ft²

Area of the given figure = area of rectangle1 + area of rectangle2

= 27.5 + 36

= 63.5 ft²