11 In the figure opposite, the straight line k divides one of the longer sides of the rectangle into segments whose lengths remain in the ratio 1: 4, and divides the other longer side into halves. Calculate the area of the rectangle knowing that the difference of the areas of the resulting trapezoids is equal to 6. k P, P2

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter8: Areas Of Polygons And Circles
Section8.5: More Area Relationships In The Circle
Problem 9E
icon
Related questions
Question
11 In the figure opposite, the straight line k divides one of the longer sides of the rectangle into
segments whose lengths remain in the ratio 1: 4, and divides the other longer side into halves.
Calculate the area of the rectangle knowing that the difference of the areas of the resulting
trapezoids is equal to 6.
k
P,
P2
Transcribed Image Text:11 In the figure opposite, the straight line k divides one of the longer sides of the rectangle into segments whose lengths remain in the ratio 1: 4, and divides the other longer side into halves. Calculate the area of the rectangle knowing that the difference of the areas of the resulting trapezoids is equal to 6. k P, P2
Expert Solution
steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Similar questions
Recommended textbooks for you
Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781305652224
Author:
Charles P. McKeague, Mark D. Turner
Publisher:
Cengage Learning
Elementary Algebra
Elementary Algebra
Algebra
ISBN:
9780998625713
Author:
Lynn Marecek, MaryAnne Anthony-Smith
Publisher:
OpenStax - Rice University
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Functions and Change: A Modeling Approach to Coll…
Functions and Change: A Modeling Approach to Coll…
Algebra
ISBN:
9781337111348
Author:
Bruce Crauder, Benny Evans, Alan Noell
Publisher:
Cengage Learning