Question

Whoever gives me the right answer gets extra points, please help me

Answer 1

Area of the carpet needed = 38 ft²

Solution:

The given image is splitted into two shapes.

One is trapezoid and the other is triangle.

Top base of the trapezoid = 8 ft

Bottom base of the trapezoid = 12 ft

Height of the trapezoid = 3 ft

Area of the trapezoid =
`(1)/(2) (a+b)* h`

`$=(1)/(2)(8+12)*3`

`$=10*3`

= 30

Area of the trapezoid = 30 ft²

Base of the triangle = 12 ft – 8 ft = 4 ft

Height of the triangle = 4 ft

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

`$=(1)/(2) *4*4`

= 8

Area of the triangle = 8 ft²

Area of the carpet = Area of the trapezoid + Area of the triangle

= 30 ft² + 8 ft²

= 38 ft²

Area of the carpet = 38 ft²

Hence 38 square feet of outdoor carpet will need for this hole.