156k views
3 votes
The width of a rectangular window is 2 feet more than its height. If the area is 35 square feet, what is the height?

User Adetola
by
8.3k points

1 Answer

1 vote

h-height\\h+2-width\\35 ft^2-Area\\\\Area=h(h+2)\\\\h(h+2)=35\\h^2+2h-35=0\\\\a=1;\ b=2;\ c=-35\\\\\Delta=b^2-4ac;\ if\ \Delta > 0\ then\ h_1=(-b-\sqrt\Delta)/(2a)\ and\ h_2=(-b+\sqrt\Delta)/(2a)\\\\\Delta=2^2-4\cdot1\cdot(-35)=4+140=144;\ \sqrt\Delta=√(144)=12\\\\h_1=(-2-12)/(2\cdot1)=(-14)/(2)=-7 < 0;\ h_2=(-2+12)/(2\cdot1)=(10)/(2)=5\\\\Answer:Height\ is\ 5\ ft.
User Phocs
by
7.5k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories