a.
To calculate:Thearea of shaded region which contains larger rectangle ABCDand smaller rectangle PQRS .
a.
Answer to Problem 3RP
Thearea of shaded region is
Explanation of Solution
Given information:
In rectangle ABCD, Side AD =
Side CD =
In rectangle PQRS, Side PQ =
Side QR =
Formula used:
Area of rectangle:
l = length of rectangle
w= width of
Calculation:
Area of larger rectangle:
Area of smaller rectangle:
Area of shaded region = Area of larger rectangle - Area of smaller rectangle
Area of shaded region
b.
To find: The area of shaded region which is a trapezoid ABCD.
b.
Answer to Problem 3RP
The area of shaded region is
Explanation of Solution
Given information:
In trapezoid ABCD, Side AD =
Side AB =
Side DC =
Formula used:
Area of trapezoid:
b = base of trapezoid
h = height of trapezoid
Calculation:
Area of shaded region = Area of trapezoid ABCD Area of trapezoid ABCD :
Area of shaded region =
c.
To find: The area of shaded region which is anequilateral triangle XYZ.
c.
Answer to Problem 3RP
The area of shaded region is
Explanation of Solution
Given information:
In equilateral triangleXYZ, Side XY = YZ = XZ =
Formula used:
Area of equilateral triangle:
s = side of equilateral triangle
Calculation:
Area of shaded region = Area of equilateral triangle XYZ.
Area of equilateral triangle XYZ :
s=XY = YZ = XZ =
Area of shaded region =
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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