Given : The area of an equilateral triangle is square cm. Hence, the length of each side of an equilateral triangle is 4 cm.

The area will be the same as what you started with. Doubling the base doubles the area. Cutting the triangle in half cuts the area in half.

Answer. Answer: The area of the triangle remains same.

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

Remember, double the area and then divide by the known side length. To calculate the area of a triangle, we multiply the base times the height and divide by 2. If you are given the area, follow the steps backwards. You will multiply by 2 and divide by the given length.

Now if we double the sides we get the new base and height of the triangle as A=12×(2b)×(2h) . Hence we have A=4×(12×b×h) . Hence we can easily say that the area of the triangle is 4 times the original triangle.

Answer Expert Verified Doubling the side-lengths will multiply the area by four. 4xy/xy=4 – hence, the new rectangle has four times the area of the old one.

If each side length is doubled, then the surface area of each face becomes 6(2x)2 = 6(4×2) = 24×2.

We can find a figure’s perimeter by combining its outside dimensions. For example, the perimeter of a rectangle is found by doubling the length, doubling the width, and then adding the two together.

New side = 2a cm. So, new volume =(2a)3cm3=(8a3)cm3. So, the volume becomes 8 times.

When the dimensions of the shape, such as radius, height, or length change, both surface area and volume also change. However, the volume of the object always changes more than the surface area for the same change in dimensions.

Yes,you can. more nearly equal. has the most possible area inside the smallest possible perimeter.

A circle is not a polygon. A polygon is a closed figure on a plane formed from a finite number of lines segments connected end-to-end. As a circle is curved, it cannot be formed from line segments, as thus does not fit the conditions needed to be a polygon.

The area increases much faster than the length of the perimeter (you could graph this and discuss linear versus exponential growth). Sides increase by one, perimeters increase by four, and area increases by three, five, seven, then nine!

Therefore you can always increase a rectangle’s area, without changing its perimeter, by transferring length from the long sides to the short sides (as long as the amount of length that you transfer isn’t more than half the difference between them).

If you start with a rectilinear shape, when you increase the area, the perimeter will increase.

The perimeter is always bigger except for one (Shape G). The area and perimeter are the same. The same happened if there you have a rectangle that has a length of 6 and a width of 3. Table 3 (they didn’t give their school) looked at finding a shape which has a perimeter numerically twice the area.

square

About this video. In this lesson you will learn that rectangles can have the same perimeter but different area by building rectangles and organizing information in a chart.

We found that the 6 by 3 rectangle works, because 6+3+6+3=18 and 6×3=18, so this has equal area and perimeter. But if both the length and the width are odd, then the area will be odd, meaning that it is impossible for the perimeter to be the same as the area.

The formula for the perimeter of a rectangle is often written as P = 2l + 2w, where l is the length of the rectangle and w is the width of the rectangle. The area of a two-dimensional figure describes the amount of surface the shape covers.

Perimeter is the distance around the outside of a shape. Learn how to calculate perimeter and area for various shapes.

Perimeter Formulas

In everyday life area and perimeter are used constantly – for example, for describing the size of a house by talking about its floor area, or for working out how much wire is needed to fence off a field.

We often find the perimeter when putting up Christmas lights around the house or fencing the backyard garden. Other examples may include finding the total length of the boundary of the soccer field or the length of the crochet or ribbon required to cover the border of a table mat.

The word perimeter means a path that surrounds an area. It comes from the Greek word ‘peri,’ meaning around, and ‘metron,’ which means measure. In mathematics, the perimeter refers to the total length of the sides or edges of a polygon, a two-dimensional figure with angles. …