Study guides

☆☆

Q: What is the area and perimeter of a triangle if its dimensions are doubled?

Write your answer...

Submit

Still have questions?

Continue Learning about Math & Arithmetic

When all of the linear dimensions are doubled . . .-- the perimeter is also doubled-- the area is multiplied by 22 = 4.

If both dimensions are doubled then the area is quadrupled. This is true of any geometric shape.

If the linear dimensions are doubled, the area is multiplied by (2)2 = 4 .

If you double the dimensions, then the perimeter is doubled. However, the area is quadrupled. For example, let's say that a side of a square is x units. The perimeter would be 4x, and the area x2. Now, let's double the dimension into 2x. Now, the perimeter is 8x, and the area is 4x2. As you can see, the perimeter is doubled and the area is quadrupled.

I am assuming that "traingle" is meant to be triangle and "permeter" is meant to be perimeter.The area of a triangle cannot be equal to its perimeter because the area is a measure in 2-dimensional space whereas a perimeter is a 1-dimensional measure. So their dimensions will always be different.Furthermore, the area of a triangle is not determined by its perimeter. The area of a triangle can be changed - without affecting its perimeter - simply by changing the angles.

Related questions

When all of the linear dimensions are doubled . . .-- the perimeter is also doubled-- the area is multiplied by 22 = 4.

If both dimensions are doubled then the area is quadrupled. This is true of any geometric shape.

If the linear dimensions are doubled, the area is multiplied by (2)2 = 4 .

Let's take a look at this problem.Rectangle Perimeter = 2(l + w)Rectangle Perimeter =? 2(2l + 2w)Rectangle Perimeter =? (2)(2)(l + w)2(Rectangle Perimeter) = 2[2(l + w)]Thus, we can say that the perimeter of a rectangle is doubled when its dimensions are doubled.Rectangle Area = lwRectangle Area =? (2l)(2w)Rectangle Area =? 4lw4(Rectangle Area) = 4lwThus, we can say that the area of a rectangle is quadruplicated when its dimensions are doubled.

A 3 x 3 square has perimeter 12 and area 9 A 6 x 6 square has perimeter 24 and area 36 Double the dimensions, double the perimeter, quadruple the area. Mathematically, a square with side x has a perimeter of 4x and an area of x2 Doubled, a square with side 2x has a perimeter of 8x and an area of 4x2

If you double the dimensions, then the perimeter is doubled. However, the area is quadrupled. For example, let's say that a side of a square is x units. The perimeter would be 4x, and the area x2. Now, let's double the dimension into 2x. Now, the perimeter is 8x, and the area is 4x2. As you can see, the perimeter is doubled and the area is quadrupled.

A right angle triangle fits the dimensions given

The minimum perimeter is when the triangle is an equilateral triangle. The perimeter of any other triangle with the same area will be longer. In the case of an equilateral triangle area = (√3)/4 × side² → side = √(4×6.5 cm²/√3) → perimeter = 3 × side = 3 × √(4×6.5 cm²/√3) ≈ 11.62 cm → The triangle has a perimeter greater than or equal to approx 11.62 cm.

I am assuming that "traingle" is meant to be triangle and "permeter" is meant to be perimeter.The area of a triangle cannot be equal to its perimeter because the area is a measure in 2-dimensional space whereas a perimeter is a 1-dimensional measure. So their dimensions will always be different.Furthermore, the area of a triangle is not determined by its perimeter. The area of a triangle can be changed - without affecting its perimeter - simply by changing the angles.

area 63 and perimeter is 32

The perimeter of a triangle does not provide sufficient information to calculate its area.

If the sides of a triangle are doubled then the area becomes quadrupled (four times as large).

People also asked