Question

Find the perimeter of ∆ABC and square BCEF in the fugure. whose perimeter is greater?

please solve anyone with explanation i need it urgently please.​

Answer 1

Answer:

Solution:-

Perimeter of square is greater than the perimeter of triangle.

• Refer to the attachment for working.

Formula used:-

Perimeter of square=4×side

Perimeter of triangle=a+b+c

Answer 2

Final Answer:

The perimeters of the triangle $\triangle ABC$ and square BCEF are 9 and 14 respectively; so the perimeter of the square is greater than the perimeter of the triangle $\triangle ABC$.

Given:

The triangle $\triangle ABC$ and the square BCEF are given in the figure.

To Find:

The perimeters of the triangle $\triangle ABC$ and square BCEF from the figure are to be calculated.

Also, identify whose perimeter is greater.

Explanation:

The points important for solving the problem are the following.

• Every mixed fraction can be simplified to an improper fraction.
• The perimeter of any triangle is equal to the sum of its three sides.
• The perimeter of any square is four times its side.

Step 1 of 2

From the given figure in the problem, derive the following.

The perimeter of the triangle $\triangle ABC$ is

$=3\frac{2}{8} +2\frac{3}{2} +2\frac{1}{4} \\\\=\frac{3\times 8+2}{8} +\frac{2\times 2+3}{2}+\frac{2\times 4+1}{4} } \\\\=\frac{26}{8} +\frac{7}{2} +\frac{9}{4} \\\\=\frac{26+7\times 4+9\times 2}{8}\\\\=\frac{72}{8} \\\\=9$

Step 2 of 3

Again, in line with the figure in the problem, derive the following.

The perimeter of the square BCEF is

$=4\times 2\frac{3}{2} \\\\=4\times\frac{2\times 2+3}{2}\\\\=4\times\frac{7}{2}\\\\=2\times7\\=14$

Step 3 of 3

Now, comparing the values of the perimeters of the triangle $\triangle ABC$ and square BCEF, it is evident that the perimeter of the square BCEF is greater than the other.

Therefore, the required greater perimeter is that of the square in the figure, because the perimeter of the triangle $\triangle ABC$ is 9 and the perimeter of the square is 14.

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https://brainly.in/question/7822463

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