5 equal squares are placed side by side to form rectangle ABCD. If the perimeter of the rectangle is 360 centimeters, what is the area of one of the squares

- anonymous

- schrodinger

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- anonymous

Draw it out it should look easy once you draw it out.

- anonymous

i did but getting nowhere

- anonymous

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- anonymous

tried to work backword

- anonymous

The square are equal. So the sides are equal. Once you put them side by side you can see the number of square sides that are on the perimeter of the rectangle. Davide the number of sides in the parameter by 360 and you should get the length of one side of a square.
once you know the side length just square it to get the area of one square

- anonymous

if x is the side of each square, what is the perimeter of the rectangle?

- anonymous

perimeter is AB+BC+CD+DA right?

- anonymous

ya

- anonymous

so, it x is the side of each square, what is the length of AD?

- anonymous

x

- anonymous

and what is the length of AB?

- anonymous

5x

- anonymous

so what is the perimeter of the rectangle in terms of x?

- anonymous

8x=360

- anonymous

how did you get 8x?

- anonymous

x=45

- anonymous

sorry 12x

- anonymous

okay so x is?

- anonymous

x=30

- anonymous

so if x is 30, what is the area of each square?

- anonymous

area is 900

- anonymous

900 what?

- anonymous

square cm

- anonymous

there you go! you got your answer

- anonymous

thanks for your help. appreciate it.

- anonymous

you are welcome

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