High School math problem that is ruining my life

[Uuaww]

You have a map, whose width is X. The length of the map is X+15. The map is in a frame which has a width of 5 all around. The area of the map plus frame is 600. What is the area of the map? Show work.

 

[LoraJ]

Go to youtube.com and check out math tutorials from yourteacher. They really helped me when I recently took a math class.

Does your text show you how to set up a problem like this?

 

[momof1princess]

you might try wolframalpha.com or webmath.com.

 

[Teresa Pitman]

You make yourself this equation:

(x + 5) multiplied by (x + 20) = 600

Solve for x.

Then the area of the map is (x) multiplied by (x + 15) (whatever x turns out to be).

Not too hard.

Teresa

 

[CanadianImagineer]

area of border = 2(5x)+2[5(x+15)]+4(25)
=10x+10x+150+100
=20x+250

first equation: area of map=600-(area of border)
=600-20x-250
=350-20x

second equation: area of map=x(x+15)
=(x^2)+15x

Therefore, 350-20x=(x^2)+15x
Then just factor. There may be a calculation error somewhere in there, but the method is correct I believe, enjoy!

 

[BCDisneyFanatic]

The width of the picture is x, Therefore, with the frame, the width is x + 10 (there is an extra 5 units on either side)

The length of the picture is x+15, and therefore with the frame is x + 25

Therefore, the area of the picture is the product of the length and the width:

(x+10) (x+25) = 600

x^2 + 35x + 250 = 600

X^2 + 35x - 350 = 0

Solve the quadratic to get your answer.

 

[Uuaww]

Problem cannot be solved with a calculator, and it was part of 30 questions in 55 minutes. The answer for x is around 8.12 if that helps anymore...

 

[BCDisneyFanatic]

Problem cannot be solved with a calculator, and it was part of 30 questions in 55 minutes. The answer for x is around 8.12 if that helps anymore...

Since you can't use a calculator, then solving the quadratic would be too time-consuming (since you'd have to use the quadratic formula)

Therefore, I would set up a table to solve

x/ length/ width/ area/

x/ x+10/ x+25/ 600/

10/ 20/ 35/ 700/

8/ 18/ 33/ 594/

8.1/ 18.1/ 33.1/ 599/

8.11/ 18.11/ 33.11/ 600/

Therefore, the area of the map is (x) (x+15) = (8.11)(23.11) = 187.4 units