Posted by Sadia on Monday, May 5, 2014 at 5:35pm.
A lot which is 3 feet times as long as it is wide is enclosed by a walk 10 feet wide. The area of the lot is 1200 square feet more than that of the walk. Find the dimensions of the lot.
PLZ help and give a check if possible!
Mathematics - Steve, Monday, May 5, 2014 at 5:50pm
If the lot's width is w,
w*3w = (w+2*10)(3w+2*10) - w*3w + 1200
w = 40
so, the lot is 40x120
the total area is 60x140 = 8400
the lot's area is 40x120 = 4800
so, the walk's area is 3600
and the lot's area is 1200 more than that
Mathematics - Sadia, Monday, May 5, 2014 at 5:53pm
How would you solve the equation? Because i need to show full work
Mathematics - Steve, Monday, May 5, 2014 at 6:27pm
(w+2*10)(3w+2*10) = (w+20)(3w+20) so you just solve
3w^2 = (w+20)(3w+20) - 3w^2 + 1200
3w^2 = 3w^2+80w+400 - 3w^2 + 1200
3w^2 - 80w - 1600 = 0
(3w+40)(w-40) = 0
w = 40 or -40/3
If you can't do that, you have some serious reviewing to do.
Answer This Question
More Related Questions
- Math - A man built a walk of uniform width around a rectangular pool. If the ...
- Algebra - I just need help setting up the equation - the rest I can do on my own...
- Algaebra - A rectangular swimming pool is 5 feet longer than it is wide. If a ...
- Math - A parking lot is being redesigned. The lot is 40 yds x 50yds. The owner ...
- Math - 1. A man has 22 feet by 26 feet rectangular lot that he will use for ...
- math - A pond 100 feet in diameter is surrounded by a circular grass walk which ...
- math - he dimensions of Liz's desk are 3.2 feet wide and 4.6 feet long. Match ...
- math - Mr.Foote placed a cement walk along the side of his house.The walk is 18 ...
- Math - I need some help with this problem please!! your parents are installing a...
- math - i need help in solving these 2 problems...please help..thank you... Your ...