4 strips of paneling 40cm long and 4cm wide are arranged to form a square. What is the area of the inner square in cm
1 answer:
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The area of the pentagon is 1,453 squared centimeters.
Given information-
The length of the apothem of a regular pentagon is 20 cm.
The measure of the perimeter of a regular pentagon is 145.3 cm.
The length of the apothem of a rectangular pentagon is 20 cm.
The measure of the perimeter of a rectangular pentagon is 145.3 cm.
<h3>Pentagon-</h3>
Pentagon is the closed shaped polygon which has 5 sides. When these 5 sides are equal in length then the pentagon is called teh regular pentagon. When four of the sides of pentagon make a rectangle then the pentagon is called the rectangular pentagon.
<h3>Area of regular pentagon-</h3>Area of regular pentagon is half of the product of its apothem and perimeter. It can be given as,
Thus the area of the pentagon is 1,453 squared centimeters.
Learn more about the regular pentagon here;
Substituting our values into the formula we get
Answer:
4.87 ft
Step-by-step explanation:
The height of the skylight =
The height of the blue △ - the height of the red △
Let <em>b</em> ft be the height of the blue △.
sin 60° =
<em>b</em> = 25 sin 60°
Let <em>r</em> ft be the height of the red △.
tan 40° =
<em>r</em> = 20 tan 40°
The height of the skylight
= 25 sin 60° - 20 tan 40°
= 4.87 ft (rounded to the nearest hundredth)
