To find: The perimeter and area of the given parallelogram.
Answer to Problem 4MCQ
The perimeter and area of the parallelogram are
Explanation of Solution
Given information:
The figure of a parallelogram with dimensions is given as follows:
Figure (1)
Formula used:
(i) Pythagoras theorem for right
(ii) The tangent formula for a right angled triangle:
(iii) Area of the parallelogram is
(iv) Perimeter of the parallelogram is
Calculation:
Calculate the value of height h using the tangent formula as follows:
Use the Pythagoras theorem to compute the value of y.
Thus, the height, length and breadth of the required parallelogram is
Now, compute the area of the required parallelogram as follows:
Round off the area value to the nearest tenth, then
Compute the perimeter of the required parallelogram as follows:
Thus, the perimeter of the parallelogram is
Therefore, the perimeter and the area of the parallelogram is
Chapter 11 Solutions
Geometry, Student Edition
Additional Math Textbook Solutions
Using and Understanding Mathematics: A Quantitative Reasoning Approach (6th Edition)
Probability and Statistics for Engineers and Scientists
A First Course in Probability (10th Edition)
Elementary Statistics
Fundamentals of Statistics (5th Edition)
Thinking Mathematically (6th Edition)
- 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