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if the sides of a square are increased by 2 meters, the area becomes 25 square meters. Find the lgth. of a side of the original square.

2007-10-31 02:40:26 · 9 answers · asked by ann m 1 in Science & Mathematics Mathematics

9 answers

5x5=25
5-2=3

2007-10-31 02:43:18 · answer #1 · answered by christian b 2 · 0 0

Easy if the sides are increased by 2 they became x+2
the area is the square of that length
so(x+2)^2 =25m^2
x+2 = square root of 25 =5 and x=3
the length of one side is 3m
and the perimeter is 4*3=12m

2007-10-31 09:46:29 · answer #2 · answered by maussy 7 · 0 0

25 sq meters means a square that is 5 meters on each side since 5 is the square root of 25.

Since it increased by 2 meters it means the original square was three meters on each side.

2007-10-31 09:44:59 · answer #3 · answered by dadvice1 5 · 0 0

Let s be the side of the original square, then

A = s^2

Now let s -> s+2 so that

A1 = 25 =(s+2)^2 take sqrt of both sides

5 = s+2 ---> s = 3

2007-10-31 09:44:37 · answer #4 · answered by nyphdinmd 7 · 0 0

Okay, since the new square is 25 square meters, the length of one side measures 5m. Therefore, the original square has side legnth of 5-2=3m.

2007-10-31 09:44:36 · answer #5 · answered by kirlia7755 3 · 0 0

(x+2)(x+2)=25
(x+2)^2=25
Take the square root of both sides
ignore the negative because we are doing length
x+2=5
x=3
orginal length= 3
CHECK
3X3=9
(3+2)(3+2)=25
(5)5=25
25=25

2007-10-31 09:46:17 · answer #6 · answered by Anonymous · 0 0

The original side's length is 3m.

That's because 25m^2 = 5m x 5m, and 5m - 2m = 3m.

Live long and prosper.

2007-10-31 09:45:10 · answer #7 · answered by Dr Spock 6 · 0 0

3 mts

2007-10-31 09:43:42 · answer #8 · answered by snehalu 3 · 0 0

3meters

2007-10-31 09:48:16 · answer #9 · answered by JZ Price 2 · 0 0

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