SOLUTION: When you measured your diagonal clothesline across your rectangular porch, you found that it was 1 foot longer than the length of the porch, and 8 ft longer than the width. What ar

SOLUTION: When you measured your diagonal clothesline across your rectangular porch, you found that it was 1 foot longer than the length of the porch, and 8 ft longer than the width. What ar

Algebra.Com

Question 217230: When you measured your diagonal clothesline across your rectangular porch, you found that it was 1 foot longer than the length of the porch, and 8 ft longer than the width. What are the dimensions of your porch?
Thanks for the help!!
Answer by checkley77(12844) (Show Source): You can put this solution on YOUR website!
(x-1)^2+(x-8)^2=x^2
x^2-2x+1+x^2-16x+64=x^2
x^2-18x+65=0
(x-13)(x-5)=0
x-13=0
x=13 ans.
Proof:
(13-1)^2+(13-8)^2=13^2
12^2+5^2=169
144+25=169
169=169

RELATED QUESTIONS
When you measured your diagonal clothesline across your rectangular porch, you found that (answered by edjones)

When you measured your diagonal clothesline across your rectangular porch, you found that (answered by checkley77,josmiceli)

Scientist in Alaska recently found a hadrosaur footprint that measured 14 inches across.... (answered by stanbon)

You have measured the percentage of days your company met production targets across two... (answered by stanbon,edjones)

Suppose that your foot length L in inches is related to your height h in inches by L =... (answered by rothauserc)

A contractor is laying out the sides of a rectangular porch. She knows that the porch... (answered by Boreal)

You realize that more than 8000 gallons per year was a lot of water to waste with a leaky (answered by jorel1380)

A building has a rectangular porch that is 15 feet by 20 feet. One of the long sides of... (answered by 303795)

Hi! Can you please help me to answer this question? My husband and I have been looking... (answered by addingup)