SOLUTION: I have been working on this math problem for awhile now and I was wondering if anyone could help me? I would deeply appreciate it!! Please and Thank you!!
Area Problems
sol
Algebra ->
Customizable Word Problem Solvers
-> Misc
-> SOLUTION: I have been working on this math problem for awhile now and I was wondering if anyone could help me? I would deeply appreciate it!! Please and Thank you!!
Area Problems
sol
Log On
Question 134781This question is from textbook Algebra Structure and Method
: I have been working on this math problem for awhile now and I was wondering if anyone could help me? I would deeply appreciate it!! Please and Thank you!!
Area Problems
solve.
A corner lot originally was square lost 185m^2 of area when one of the adjacent streets was widened by 3m and the other was widened by 5m. Find the new dimensions of the lot. This question is from textbook Algebra Structure and Method
You can put this solution on YOUR website! A corner lot originally was square lost 185m^2 of area when one of the adjacent streets was widened by 3m and the other was widened by 5m. Find the new dimensions of the lot.
:
Let x = original dimension of the square lot
Then x^2 = the area of the original lot
:
The new dimensions: (x-3) by (x-5)
:
New lot area = original lot area - 185 sq/m
(x-3)*(x-5) = x^2 - 185
:
x^2 - 8x + 15 = x^2 - 185
:
x^2 - x^2 - 8x = -185 - 15
:
-8x = -200
:
x = 200/8
:
x = 25 meters the diminsion of the original lot
:
New dimensions:
25 - 3 = 22 meters
by
25 - 5 = 20 meters
:
Check solution; find the area of both:
25 * 25 = 625
22 * 20 = 440
--------------
differs = 185
