Question

Find the area of each figure (1/2 x height x average of the two bases)​

Answer 1

(7) Total area = 2.7 m²

(8) Total area = 6.3 m²

Step-by-step explanation:

(7)

Total area = area of rectangle + area of triangle

Area of triangle =
`(1)/(2) X b X h`

`=(1)/(2) X 1 X 3\\\\= (3)/(2)\\ \\= 1.5`

Area of rectangle =
`length X breadth`

`=1.2 X 1\\\\= 1.2`

Total area = 1.5 + 1.2 mi²

= 2.7 mi²

(8)

Total area = area of rectangle + area of 2 triangles.

Base of 2 triangles = 4.3 - 1.7 m

= 2.6 m

Base of 1 triangle = 1.3 m

Area of triangle =
`(1)/(2) X b X h\\ \\`

`= (1)/(2) X 1.3 X 2.1 m^2\\\\= 1.365 m^2`

Area of 2 triangles = 1.365 X 2

= 2.73m²

Area of rectangle = length X breadth

= 2.1 X 1.7m²

= 3.57 m²

Total area = 2.73 + 3.57m²

= 6.3m²