Tutors Answer Your Questions about Rectangles (FREE)
Question 466398: I was doing an IQ game ("challenging" level) and was faced with a problem, which I solved by logical thinking and trial/error. However, before that I tried to figure out a way to solve the problem with algebra. I'm still not sure if it is possible or not.
The problem/question:
"Charlie removed a one-metre wide strip of grass from all the way around a square lawn, which was made info a flower bed. The remaining grass was four-fifths the area of the new flower bed.
What were the dimensions of the lawn originally?"
It seemed to me that we are missing a value (a length), but then I thought that it might be possible to figure it out by using equations, and canceling out values against each other. I tried different approaches, but I haven't done equations for a long time and got stuck.
This was my approach:
a = length or height of square lawn
b = new flower bed
c = remaining grass
d = dimensions of original lawn (area)
c = 4/5b
d = b + c
(a - 2)x2 = (4/5b) + (5/5b)
Is it just not possible, or am I missing something?
Any help with pointing out if and how this can be done would be greatly appreciated!
Kind regards,
Rob
Click here to see answer by ankor@dixie-net.com(22740)   |
Question 466398: I was doing an IQ game ("challenging" level) and was faced with a problem, which I solved by logical thinking and trial/error. However, before that I tried to figure out a way to solve the problem with algebra. I'm still not sure if it is possible or not.
The problem/question:
"Charlie removed a one-metre wide strip of grass from all the way around a square lawn, which was made info a flower bed. The remaining grass was four-fifths the area of the new flower bed.
What were the dimensions of the lawn originally?"
It seemed to me that we are missing a value (a length), but then I thought that it might be possible to figure it out by using equations, and canceling out values against each other. I tried different approaches, but I haven't done equations for a long time and got stuck.
This was my approach:
a = length or height of square lawn
b = new flower bed
c = remaining grass
d = dimensions of original lawn (area)
c = 4/5b
d = b + c
(a - 2)x2 = (4/5b) + (5/5b)
Is it just not possible, or am I missing something?
Any help with pointing out if and how this can be done would be greatly appreciated!
Kind regards,
Rob
Click here to see answer by scott8148(6628)  |
Question 466875: Determine if the following application problem has a solution using a discriminant: The area of a square is 40 more than the area of a rectangle. The length of the rectangle is twice the length of the side of the square and the width of the rectangle is 5 less than the side of the square.
(1) Use a discriminant to determine if this scenario is possible. If so, find the dimensions of the square. Explain why your solution is possible or not.
(2) Find a scenario that would make the solution possible, discuss, and solve.
U5Q1
Click here to see answer by Big Poop(157) |
Question 466870: Someone please help me with this word problem
Determine if the following application problem has a solution using a discriminant: The area of a square is 40 more than the area of a rectangle. The length of the rectangle is twice the length of the side of the square and the width of the rectangle is 5 less than the side of the square.
(1) Use a discriminant to determine if this scenario is possible. If so, find the dimensions of the square. Explain why your solution is possible or not.
(2) Find a scenario that would make the solution possible, discuss, and solve.
Click here to see answer by Big Poop(157) |
Question 466899: A recreation room has the following dimensions. It shows a rectangle thats length is 22yd and width that is 10yd. It also has a square that is 8yd in length and 8yd in width. Carpeting cost $9.00 a sq. yd. How many square yards is needed and how much is the cost?
Click here to see answer by Big Poop(157) |
Question 466937: A recreation room has the following dimensions.
3Yd
8yd
2yd
2yd
Carpeting will cost $9.00 a square yard. How many square yards of carpet will be needed and how much will it cost? Include correct units at each stage within your solution.
Click here to see answer by Big Poop(157) |
Question 467046: Jack builds a rectangular animal pen using 20 fence posts placed every 4 feet along the perimeter of the pen.What is the greatest possible area o the animal pen?
I tried 20 x 20 to get 400 which is the answer but that is a square. Since a square is also a rectangle, is that correct?
Click here to see answer by stanbon(75887) |
Question 467149: the distance between singapore and tokyo is 3300 mi. on a certain wall map, this distance is represented be 11 in. the actual distance between mexico city and cairo is 7700 mi. how far apart are they on the same map?
Click here to see answer by Theo(13342)  |
Question 467188: a rectangle and a square have the same area. if the length of the side of the square is 6 units and the longest side i of the rectangle is 5 more than the measure of the shorter side, find the dimensions of the rectangle. :))
Click here to see answer by Big Poop(157) |
Question 467698: a garden is in the shape of a square with a perimeter of 42 feet. the garden is surrounded by two fences. one fence is around the perimeter of the garden, whereas th second fence is 3 feet from the first fence.if the material used to build the two fences is $1.28 per foot, what is the total cost of the fence
Click here to see answer by ankor@dixie-net.com(22740) |
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