SOLUTION: A lawn mower of width 1m is used to mow a rectangular lawn of dimension 60mx40m. The mowing is done starting from the corner towards the center. How many times should the mower be

Question 141445: A lawn mower of width 1m is used to mow a rectangular lawn of dimension 60mx40m. The mowing is done starting from the corner towards the center. How many times should the mower be moved along the garden for 3/4th of garden to be mowed?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
A lawn mower of width 1m is used to mow a rectangular lawn of dimension 60mx40m. The mowing is done starting from the corner towards the center. How many times should the mower be moved along the garden for 3/4th of garden to be mowed?
:
Assume you mean 3/4 of the lawn, not the garden. (Big trouble if you mowed the garden around here.)
:
Find the area of 3/4 of the lawn
60 * 40 * 3/4 = 1800 sq/m
:
Let x = no. of rounds made on the lawn to complete 3/4 of it
:
Each round subtracts two meters from both dimensions, so we have:
(60-2x)*(40-2x) = 1800
FOIL
2400 - 120x - 80x + 4x^2 = 1800
:
2400 - 200x + 4x^2 - 1800 = 0
Arrange as a quadratic equation
4x^2 - 200x + 600 = 0
simplify, divide by 4
x^2 - 50x + 150 = 0
:
Use the quadratic formula to find x: a=1; b=-50; c=150
:
The reasonable answer I got was approx 3.2 rounds
RELATED QUESTIONS
Please helppppp!!!!!!!!!!! Thanks in advance.. Lisa, Nicole and Amber are to mow a... (answered by checkley71)

Moe, Curly, and Larry are to mow a rectangular lawn that measures 100 feet by 120 feet.... (answered by mananth)

Lisa, Nicole, and Amber are to mow a rectangular lawn that measures 100 feet by 120 feet. (answered by ankor@dixie-net.com)

John and Paul agree to share the work in mowing a rectangular lawn. John agrees to mow... (answered by ankor@dixie-net.com)

The dimensions of a rectangular lawn are 20 yards by 10 yards. The lawn mower cuts a 1... (answered by josmiceli)

A lawn mower is pushed a distance of 61m along a horizontal path by a constant force of... (answered by ikleyn)

Tom, Dick & Harry each have a lawn mower and decide to mow a 5900 square foot lawn. Tom (answered by richwmiller)

I want to mow my lawn this summer but I need a new lawn mower. I can choose a riding... (answered by stanbon)

Two landscapes must mow a rectangular lawn that measures 100 feet by 200 feet. Each wants (answered by josgarithmetic)