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√400 = 20

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Q: If the area of a square is 400 what is the length of its side?
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Continue Learning about Algebra

Does doubling the side length of a square double the area?

No. If you double the length of the sides, you multiply the area by 4. For example, a 10x10 square has an area of 100, but a 20x20 square has an area of 400.


A square has an area of 400 what is the perimeter?

A square with an area of 400 square units has a perimeter of 80 units.


What is the perimeter of a square that has an area of 10000 cm squared?

Area of a square = side^2 10,000 = side^2 100 = side Perimeter = 4(side) = 4 x 100 = 400 cm


If the diagonal of a square is twenty inches how do you find the length of the sides?

You use the Pythagorean theorem. Remember that Asq + Bsq = Csquared, where A and B are the sides of a right triangle and C is the diagonal. (Remember that a right triangle is just a square cut in half slantwise.) Based on the theorem, you know that the sum of A squared and B squared equals 20 squared (20 squared = 20 x 20 or 400.) Also, since it's a square you concerned with, you know that the sides are the same length. So whatever length "A" side is, "B" side is the same. So we might as well say two times A is the same as A plus B. So two times A squared equals 400. We only want to know what ONE side of the square measures, so we can reduce both sides of the equation by dividing each side by 2. In other words, if TWO times A squared equals 400, then ONE times A squared equals 200. But we don't want to know what the length of A squared is, we want to know what the length of A is. So take the square root. A equals the square root of 200. The square root of 200 is fourteen plus a fraction. So your square is fourteen plus a fraction on each side. Check your work: 14 squared plus 14 squared = 196 + 196 = 392, which is is very close to the C squared we started with of 400. The square root of 400 is 20, and you are back to the beginning.


A triangle has a hypotenuse of length 25 and a leg length of 15?

Using Pythagoras' theorem: 252-152 = 400 and the square root of this is 20 units in length.

Related questions

What is the area of a square with a side of 20 units?

A square with a side length of 20 units has an area of 400 square units.


What is the length of each side of a square if the area is 400?

20


What is the side length of a square with area 400 cm2?

It is 20 cm


A square has an area of 400 centimeters what is the length of one of the sides?

The area of the square cannot be 400 centimetres - it must be 400 square centimetres.If the area is 400 sq cm, then each side is sqrt(400) = 20 cm.


Does doubling the side length of a square double the area?

No. If you double the length of the sides, you multiply the area by 4. For example, a 10x10 square has an area of 100, but a 20x20 square has an area of 400.


If the area of a square is 400 square inches What is the length of one side?

Each side is 20 inches. 20 x 20 = 400 square inches.


What is the area of a square with 80 cm perimetre?

A square with a side length of 20 cm (80/4) has an area of 400 cm2


What is the area ofa square game boardif one side has a length of 20 inches?

400 in2


If the total fencing around a square field is 80 yard. the field has an area of how many square yards?

Total perimeter is 80 yards. As it is a square, divide the 80 by 4 (as there are 4 sides of equal length). Then multiply: 80 ÷ 4 = 20, 20 x 20 = 400 square yards is the area of the field.


What is the perimeter of a square with the area of 400 m?

A square with an area of 400m has a side length of 20m. The perimeter of a square of four times the length of one of its sides. Four times 20m is 80m. Therefore, the perimeter is 80m.


What is the area ofa square if one side has a length of 20 inches?

400 sqinches (20 x 20)


What is the area of a square that has a perimeter of 80 m?

If a square has a perimeter of 80 meters, then each side is 20 meters in length. (80/4 sides of a square=20) The area of a square is side2, so 20*20 equals 400. The area of a square that has a perimeter of 80 meters is 400 meters2.