What happens to the area of a square when the side is tripled?

What happens to the area of a square when the side is tripled?

If we triple the side, the side of the square each becomes 3x. Therefore, on tripling the side, the area of the square becomes 9 times the original.

Is the side of a square is tripled How many times will its area be as compared to the area of the original square?

Hence, the area of the new square will become nine times the area of the original square.

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How much would the perimeter of a square be increased if its area is tripled?

If sides get tripled, then the side of the new square will be 3 times the earlier side. We know that the formula of the perimeter of the square is 4×side. Therefore, the perimeter of the new square is 3 times the perimeter of the first square.

What happened to the area of square if its side is double?

Since the side of a square is doubled. ⇒New side =2a. Area of the square =(2a)2=4a2. ∴ Area of the square becomes 4 times .

How do you find the triple area of a square?

For the area of a square to triple, the new side lengths must be the length of the old sides multiplied by: A. square root of 3B. 3C.

How many times the area of square is the area of the triangle?

Since, the sides of both the triangles are in proportion. So both the triangles are similar. Hence, the area of the triangle is increased 4 times.

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How many times area is changed when sides are doubled?

Four times area is changed, when sides of a triangle are doubled.

When side of an equilateral triangle is tripled then how many times New area will be?

Answer: According to the condition, if the measure of the sides are increased by three times, then the area will be = √3/4 (3a)². = 800 \% or 8 times.

What is the area of a square if one side is triplet?

If the side of a square is tripled then the area would be increased 9 times assuming the goal is to keep the shape a square. Meaning if one side is tripled then all sides are tripled and all corners remain 90 degrees. X being the original length, then 3x is the tripled length. The area of a square is base times height.

What happens if you triple the length of a square?

If the side of a square is tripled then the area would be increased 9 times assuming the goal is to keep the shape a square. Meaning if one side is tripled then all sides are tripled and all corners remain 90 degrees. X being the original length, then 3x is the tripled length.

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How do you find the area of a three-sided square?

To test this, you can let the side of the original square be equal 1. By tripling this side, the side becomes three. Utilizing the area of a square formula, A= s^2, the area of the original square would be 1 after substituting 1 for s. Then, you do the same for the area of the tripled square.

How do you find the area of a triangle BCP?

The area of the square is x^2 (height X width). The area of triangle BCP will ALWAYS be half the area of the square because its area will be x * x/2 or (x^2)/2. This is using side BC as the ‘base’ of the triangle because we know the measurements for the base and height are the same.