Quinn is building an enclosed pen in his backyard. He wants the perimeter to be no more than 50 feet. He also wants the length to be at least 5 feet longer than the width.

Which combination of width and length will meet Quinn's requirements for the pen?

A.

width = 7 feet and length = 20 feet

B.

width = 5 feet and length = 12 feet

C.

width = 15 feet and length = 10 feet

D.

width = 11 feet and length = 15 feet

Question

Mathematics

Guest

15 June, 20:46

Quinn is building an enclosed pen in his backyard. He wants the perimeter to be no more than 50 feet. He also wants the length to be at least 5 feet longer than the width.

Which combination of width and length will meet Quinn's requirements for the pen?

A.

width = 7 feet and length = 20 feet

B.

width = 5 feet and length = 12 feet

C.

width = 15 feet and length = 10 feet

D.

width = 11 feet and length = 15 feet

+5

Answers (2)

Know the Answer?

Johanna Bailey · Answer 1

B

Step-by-step explanation:

got a 5/5 on my plato test.

can't be C or D because the length isn't 5 feet or longer, and it cant be A cuz the it's perimeter is over 50 so its B cuz it follows the rules.

Kathy Knapp · Answer 2

Option C!

Step-by-step explanation:

We need to check the perimeter for each option:

A. (7*2) + (20*2) = 14+40 = 54

B. (5*2) + (12*2) = 10+24 = 32

C. (15*2) + (10*2) = 30+20 = 50

D. (11*2) + (15*2) = 22+30 = 52

Now, only option B and C are less than 50ft, and both have lenghts 5 feet longer that their width, BUT option C meets the exact requerimients by having exactly a perimeter of 50ft and lenght exactly 5ft longer than the width.