a.
To calculate: The perimeter of the base ABCD .
a.
Answer to Problem 7PSB
The perimeter of base ABCD is
Explanation of Solution
Given information:
Side EF = 12,
Side EB = 15.
Formula used:
The below theorem is used:
Pythagoras theorem states that “In a right angled
In right
Area of triangle:
b = base of triangle
h = height of triangle
Calculation:
Side FB can be calculated by applying Pythagoras Theorem.
In right angle triangle EFB , we get
Base
In square all sides are equal.
Perimeter
Perimeter
Perimeter
b.
To find: The lateral area of pyramid EABCD .
b.
Answer to Problem 7PSB
The lateral area of pyramid EABCD is
Explanation of Solution
Given information:
Side EF = 12,
Side EB = 15.
Formula used:
The below theorem is used:
Pythagoras theorem states that “In a right angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides”.
In right angle triangle,
Area of triangle:
b = base of triangle
h = height of triangle
Calculation:
Side FB can be calculated by applying Pythagoras Theorem.
In right angle triangle EFB , we get
Base
Area of triangle:
Lateral Area = 4
Lateral Area
c.
To calculate: The area of base ABCD .
c.
Answer to Problem 7PSB
The area of base ABCD is
Explanation of Solution
Given information:
Side EF = 12,
Side EB = 15.
Formula used:
The below theorem is used:
Pythagoras theorem states that “In a right angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides”.
In right angle triangle,
Area of square:
s = side of square
Calculation:
Side FB can be calculated by applying Pythagoras Theorem.
In right angle triangle EFB , we get
Base
Area of base ABCD
d.
To calculate: The total area of pyramid EABCD .
d.
Answer to Problem 7PSB
The total area of EABCD is
Explanation of Solution
Given information:
Side EF = 12,
Side EB = 15.
Formula used:
The below theorem is used:
Pythagoras theorem states that “In a right angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides”.
In right angle triangle,
Area of triangle:
b = base of triangle
h = height of triangle Area of square:
s = side of square
Calculation:
Side FB can be calculated by applying Pythagoras Theorem.
In right angle triangle EFB , we get
Base
Area of triangle:
Lateral Area = 4
Lateral Area
Area of base ABCD
Total Area = Lateral Area + Area of base ABCD
Total Area
Total Area
Chapter 12 Solutions
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- Elementary Geometry For College Students, 7eGeometryISBN:9781337614085Author:Alexander, Daniel C.; Koeberlein, Geralyn M.Publisher:Cengage,Elementary Geometry for College StudentsGeometryISBN:9781285195698Author:Daniel C. Alexander, Geralyn M. KoeberleinPublisher:Cengage Learning