Answer:
Option B, Area of pentagon = 58.5 Square feet
Step-by-step explanation:
The remaining part of the question is attached as image
Solution
Area of pentagon has a triangle and a trapezoid
Area of triangle = 0.5 *base *height = 0.5*9 *3 = 13.5 square feet
Area of trapezoid = Area of rectangle – 2* area of smaller triangles
= 9 ft * 6ft – ( 2 * 0.5 * 6 ft * (9 ft – 6ft) /2
= 54 – (1*6*1.5)
Area of pentagon = 13.5 + 45 = 58.5 Square feet
Hence, option B is correct
Answer:
The lenght of the first piece is 6 feet.
The lenght of the second piece is 18 feet.
The lenght of the third piece is 30 feet.
Step-by-step explanation:
Let be:
the lenght of the first piece (in feet).
the lenght of the second piece (in feet).
the lenght of the third piece (in feet).
You know that the total lenght of the piece of siding is 54 feet. This means that:
Having this expression, you can solve for "x":
Therefore, the lenght of the first piece is 6 feet.
Then:
(The lenght of the second piece is 18 feet)
(The lenght of the third piece is 30 feet)