SOLUTION: a square has an area of 225 the length gets increased but the width stay the same to make a rectangle. the rectangle's perimeter is 5 times the perimeter of the square how many squ

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Question 710759: a square has an area of 225 the length gets increased but the width stay the same to make a rectangle. the rectangle's perimeter is 5 times the perimeter of the square how many square cm did the rectangle area increase?
Answer by ankor@dixie-net.com(22740)   (Show Source): You can put this solution on YOUR website!
a square has an area of 225
x^2 = 225
x =
x = 15 cm is one side of the original square
then
4(15) = 60 cm is the perimeter of the square
:
the length gets increased but the width stays the same to make a rectangle. the rectangle's perimeter is 5 times the perimeter of the square
let a = amt the length gets increased
2(a+15) + 2(15) = 5(60)
2a + 30 + 30 = 300
2a = 300 - 60
2a = 240
a = 120 cm increase in length
:
how many square cm did the rectangle area increase?
Area increase: (120+15)*15 - 225 = 1800 sq/cm increase

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