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# How do you cut a square into 4 shapes with the same area?

Updated: 12/16/2022

Wiki User

13y ago

cut in half then cut both halves in half again

Wiki User

13y ago

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Q: How do you cut a square into 4 shapes with the same area?
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### How do you find the area of a trapezoid using the area of a triangle?

You have to cut the trapezoid into three shapes. The three shapes will be two triangles and one rectangle or square. You have to find the area of these three shapes and then add all of the three areas up to find the area of the trapezoid.

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Yes, take a square, cut into 5 shapes.

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No.It is not possible for the shape with the same perimeter to have the same area. This is because, to do this, you would have to cut up two shapes into eight pieces, add the amount of them all together and divide them by 7.559832076. By doing this you are breaking the seventh note, this is against the laws of trigonometry there by breaking this rule of concentration, so this statment; having shapes with the same perimeter have the same area, is therefor not true!Thank you.

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You cut the shape down into smaller shapes that you recognise and know how to calculate the area of. Then calculate the area of the small shapes and add the all up.

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For regular shapes and a small selection of other shapes there are formulae that will enable you to work out the square area from the length of a side or sides. For some less regular shapes, you can decompose the shape into two or more regular shapes so that you can apply the formulae to get the areas of the componenets and then add them together. For totally random shapes you have to resort to analogous measures. For example, trace the random shape onto a uniform sheet whose mass per unit area is known. Printer paper, for example, is graded by grams per square metre - you'll need mass per sq cm. Cut out the shape on the sheet and measure its mass. Divide the mass by the mass per sq cm and the answer is the area in sq cm.

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Draw a box 3 cm wide by 4 cm long. This box has an area of 12 square centimeters (3 cm X 4 cm = 12 cm2). Or you could do 2 cm wide by 6 cm long. The shape in question has the same area as this box. If you cut out this box in cardboard, and cut out the same shape in question, from the same material, they would both have the same mass.

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