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Misha Larkins [42]
3 years ago
6

Sketch the figure: Two different isosceles triangles with perimeter 4a + b

Mathematics
1 answer:
Nikitich [7]3 years ago
3 0

The two triangles with the given perimeter is attached .

Perimeter is the sum of all sides.

For the first triangle , sies are  2a,2a and b.

So the perimeter is

Perimeter = 2a+2a+b
\\
Perimeter = 4a+b

For the second triangle, sides are a,a, and 2a+b. Therefore perimeter is

Perimeter = a+ a + 2a+b
\\
Perimeter = 4a+b

So for both triangles, perimeter is

4a+b

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ANSWER

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EXPLANATION

The area of a regular hexagon is given by the formula,

Area =  \frac{1}{2} ap

where a=14cm is the apothem and p=96cm is the perimeter of the regular hexagon.

We substitute the values into the formula,

Area =  \frac{1}{2}  \times 14 \times 96 {cm}^{2}

Area =672 {cm}^{2}

Therefore the approximate area of the hexagon is 672cm²

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