Question

Find the area of the figure. Use 3.14 for π.

Answer 1

51.5 ft^2

Explanation:

Area of the shape

We can solve this by dividing into shapes

area of rectangle

formula:

length * width

=(3+8 ) * 4

=44 ft^2

area of top triangle

`(1)/(2) * base * height`

`(1)/(2) * 3 * 2`

=3 ft^2

area of bottom triangle

`(1)/(2) * base * height`

`(1)/(2) * 3 * 3`

= 4.5 ft^2

total area of the shape :

Area of rectangle + area of top triangle + area of bottom triangle

=44 + 3 + 4.5

=51.5 ft^2

the total area is 51.5 ft^2

Answer 2

Area of the figure=
`51.5feet^2`

Explanation:

Area of the figure=Area of the middle rectangle+ Area the the two triangles

Area of the rectangle=Length*Width

`Length= 8+3 =11 feet\\\\Width=4 feet`

`Area = 11*4\\\\ =44 feet^2`

Area of the triangle with the height of 2 feet and base= 3 feet

Area=
`(1)/(2) *Base*Height`

=
`=(1)/(2) *3*2\\\\=(1)/(2)*6\\\\ =3 feet^2`

Area of the triangle with the Height=3 feet and Base= 3 feet

Area=
`(1)/(2) *Base*Height`

`=(1)/(2)*3*3\\\\ =(1)/(2)*9\\\\ =4.5feet^2`

Total Area of the figure
`=44+3+4.5=51.5 feet^2`