RandomChildAlert
Answered

Looking for answers? Westonci.ca is your go-to Q&A platform, offering quick, trustworthy responses from a community of experts. Connect with a community of experts ready to provide precise solutions to your questions on our user-friendly Q&A platform. Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform.

The length of a rectangular field is 7 m less than 4 times the width. The perimeter is 136 m. Find the width and the length

Part A: What does the independent variable represent?

Part B: What is the mathematical statement?

Part C: What is the value of the independent variable?

Please do all of these steps!!

Sagot :

altavistard

Answer:

Step-by-step explanation:

Represent the width by W.  Then, "The length of a rectangular field is 7 m less than 4 times the width" expressed symbolically is

L = 4W - 7 (dimensions in meters)

Recall that the perimeter formula in this case is P = 2L + 2W, and recognize that the perimeter value is 136 m.  After substituting 4W - 7 for L, we get:

136 m = 2(4W - 7) + 2W, or

136 = 8W - 14 + 2W, or

150 = 10W        These three equations are equivalent mathematical statements.

150 = 10W reduces to W = 15 (meters).

Part A:  the independent variable is W, the width of the field.

Part B:  The mathematical statement is 136 m = 2(4W - 7) + 2W, which after algebraic manipulation becomes 150 = 10W.

Part C:  The above equation can be solved for W:  W = 15 meters.  This is the value of the independent variable.

We hope our answers were useful. Return anytime for more information and answers to any other questions you have. We appreciate your time. Please come back anytime for the latest information and answers to your questions. Thank you for using Westonci.ca. Come back for more in-depth answers to all your queries.