SOLUTION: A square flower bed in Michell's garden is to be enlarged by adding 3 feet on each side. If the larger square has an area of 169 square feet, what is the length of the original squ

Algebra.Com
Question 314713: A square flower bed in Michell's garden is to be enlarged by adding 3 feet on each side. If the larger square has an area of 169 square feet, what is the length of the original square?
I am so confuised!
Answer by solver91311(24713)   (Show Source): You can put this solution on YOUR website!


What is "confuised" and what does the condition of being whatever that is have to do with determining the measurement of a square?

Let represent the measure of the side of the original square. Then is the measure of the side of the enlarged square.

The area of a square is given by squaring the measure of one side. Hence, is a representation of the area of the enlarged square. Also, we are given that is a representation of the area of the enlarged square. So:



Taking the square root of both sides and discarding the negative root because we are seeking a positive measure of length:





And since we set up the problem so that represents the measure of the side of the original square, that is the answer.

John
RELATED QUESTIONS

Question 1) A square flower bed in Michelle's garden is to be enlarged by adding 3 feet... (answered by ankor@dixie-net.com)
A square flower bed is to be enlarged by adding 3 feet to each side. If the larger square (answered by nerdybill)
A garden contains two square flowerbeds .The total area of the flowebed is 680 square... (answered by CubeyThePenguin)
13. Mr Fu asked a garden designer to make a square flower bed. The cost for paving the... (answered by ankor@dixie-net.com)
3. Aimee Eslinger is planning an expansion of a square flower garden in a city park. If... (answered by ankor@dixie-net.com)
A gardener makes a rectangular flower bed square by taking two feet off its length and... (answered by JoelSchwartz)
Lorraine has a rectangular flower garden which is five feet longer than it is wide. The... (answered by ankor@dixie-net.com)
A square garden is to be enlarged to a rectangular by adding 5 ft. to the length and... (answered by ewatrrr)
As part of a landscaping​ project, put in a flower bed measuring 18 feet by 22 feet.... (answered by josgarithmetic)