What is the area of this figure? Drag and drop the appropriate number into the box. A = ft² A shape made up of a rectangle with a length of 18 feet, another rectangle attached to the first rectangle with a length of 5 feet and a height of 5 feet, another rectangle attached to the second rectangle with a length of 1 foot and a height of 4 feet. The longest straight edge of the shape is labeled with a height of 15 feet.

Respuesta :

The area of the figure is 137 feet.

Step-by-step explanation:

1st rectangle,

length = 18 feet and height = x

2nd rectangle,

length = 5 feet and height = 5 feet.

3rd rectangle,

length = 1 foot and height = 4 feet.

  • Area of the figure = Area of 1st rectangle + Area of 2nd rectangle + Area of 3rd rectangle.
  • Total height = x+5+4 = 15 feet. Therefore, the height of 1st rectangle is 6 feet.
  • Area of rectangle = length[tex]\times[/tex]height

Area of 1st rectangle = 18[tex]\times[/tex]6 = 108 feet

Area of 2nd rectangle = 5[tex]\times[/tex]5 = 25 feet

Area of 3rd rectangle = 1[tex]\times[/tex]4 = 4 feet

Area of the figure = 108+25+4 = 137 feet.