The perimeter of the rectangular playing field is 460 yards. The length of the field is 5 yards less than quadruple the width. What are the dimensions of the playing field?

Question

Mathematics

Ellis Ferrell

25 February, 11:34

The perimeter of the rectangular playing field is 460 yards. The length of the field is 5 yards less than quadruple the width. What are the dimensions of the playing field?

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Answers (2)

Know the Answer?

Damari Odonnell · Answer 1

multiply 460 by 5

Step-by-step explanation:

460 * 5 = 2,300

Lailah Randolph · Answer 2

Answer: The length = 185

and the Width = 45

Step-by-step explanation:

Perimeter of a rectangle is given as 2 (L + B), that is

2 (L+B) = 460

divide through by 2

L + B = 230

Also, from the second statement

L - 5 = 4B, that is

L - 4B = 5

Combining the two equations and solving simultaneously, we have

L = 185 and B = 45