reemalnaqel
Answered

Discover a wealth of knowledge at Westonci.ca, where experts provide answers to your most pressing questions. Get precise and detailed answers to your questions from a knowledgeable community of experts on our Q&A platform. Get quick and reliable solutions to your questions from a community of experienced experts on our platform.

A rectangle with a perimeter of 96 feet has a length and width in a ratio of 15:1. What are the length and width?

Sagot :

indrawboy

l = x

w = y

x:y = 15:1

x=15y

perimeter = 2(l+w)

96 = 2(l+w)

48 = l+w

48 = x+y

48 = 15y+y

48=16y

y = 3

x = 15.3 = 45

length = 45 ft

width = 3 ft

Solution:

Note that:

  • 2L + 2B = 96 feet
  • L:B = 15:1

Simplify the second equation to find L.

  • L:B = 15:1
  • => L/B = 15/1
  • => L = 15B

Substitute the value of L into the first equation to find B.

  • 2L + 2B = 96 feet
  • => 2(15B) + 2B = 96 feet
  • => 32B = 96 feet
  • => B = 96/32 feet = 3 feet

Substitute the value of B into L = 15B to find L.

  • L = 15B
  • => L = 15(3)
  • => L = 45 feet
Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. Thanks for using our platform. We aim to provide accurate and up-to-date answers to all your queries. Come back soon. Westonci.ca is committed to providing accurate answers. Come back soon for more trustworthy information.