20. The following question explores why it doesn'treally make sense to compare area and perimeter.A rectangle is 9 feet long and 6 feet wide. Whichis greater, the perimeter of the rectangle or thearea of the rectangle?a. Calculate the perimeter and the area of therectangle in feet and square feet, respectivelyExplain briefly.b. Calculate the perimeter and the area of therectangle in yards and square yards, respec-tively. Explain briefly.c. Use parts (a) and (b) to explain why it doesn'treally make sense to compare area andperimeter.

Question
Asked Sep 30, 2019
3 views
20. The following question explores why it doesn't
really make sense to compare area and perimeter.
A rectangle is 9 feet long and 6 feet wide. Which
is greater, the perimeter of the rectangle or the
area of the rectangle?
a. Calculate the perimeter and the area of the
rectangle in feet and square feet, respectively
Explain briefly.
b. Calculate the perimeter and the area of the
rectangle in yards and square yards, respec-
tively. Explain briefly.
c. Use parts (a) and (b) to explain why it doesn't
really make sense to compare area and
perimeter.
help_outline

Image Transcriptionclose

20. The following question explores why it doesn't really make sense to compare area and perimeter. A rectangle is 9 feet long and 6 feet wide. Which is greater, the perimeter of the rectangle or the area of the rectangle? a. Calculate the perimeter and the area of the rectangle in feet and square feet, respectively Explain briefly. b. Calculate the perimeter and the area of the rectangle in yards and square yards, respec- tively. Explain briefly. c. Use parts (a) and (b) to explain why it doesn't really make sense to compare area and perimeter.

fullscreen
check_circle

Expert Answer

Step 1

Given that a rectangle of 9 feet long and 6 feet wide

help_outline

Image Transcriptionclose

6 feet 9 feet

fullscreen
Step 2

Perimeter of rectangle is 2(l + b) feet where l = length and b = width.

Here l = 9 and b = 6

help_outline

Image Transcriptionclose

Perimeter 2(9+6) 30 feet (lxb) feet And Area = Area 9x6 Area 36 feet

fullscreen
Step 3

Hence Area is greater ...

help_outline

Image Transcriptionclose

9 feet 3 yards And 6 feet 2 yards Hence Perimeter 2(9 6) 30yard

fullscreen

Want to see the full answer?

See Solution

Check out a sample Q&A here.

Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour.*

See Solution
*Response times may vary by subject and question.
Tagged in

Math

Algebra

Applications of Mathematics