Mathematics: I need some help, like really some help. I ll give you BRAINLIEST

I need some help, like really some help. I ll

Ответ:

dontcareanyonemo

15.05.2021

$A_{total}=123.3in^{2}$

Step-by-step explanation:

If the triangle and the square have the same sides, then that triangle is equilateral, that is, all its sides are the same.

Now, this is a composite shape, where one side of the triangle is on one side of the square, this means that the perimeter is the sum of all 6 sides. So, each side is

$P=6s\\56=6s\\s=\frac{56}{6}=9.3in$

So, the area of the square is

$A_{square}=s^{2}=(9.3)^{2} =86.5in^{2}$

Now, the are of an equilateral triangle is

$A_{triangle}=\frac{\sqrt{3} }{4}s^{2}$

Where is the side, replacing its value, we have

$A_{triangle}=\frac{\sqrt{3} }{4}(9.3)^{2}=36.8in^{2}$

The total are of the composite figure would be the sum of each

$A_{total}= 86.5+36.8=123.3in^{2}$

Therefore, the area of the composite shape is

$A_{total}=123.3in^{2}$

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