The figure shown is made up of a triangle and a square. the perimeter of the figure is 56 inches. what is the area of the figure? explain.

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

So, the area of the square is

Now, the are of an equilateral triangle is

Where is the side, replacing its value, we have

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

Therefore, the area of the composite shape is

< coa = 150 ( given)

as ba and bc are tangents

so oc and oa is perpendicular to cb and ab respectively because in circle normal passes through centre

so in quadrilateral oabc

< coa + < oab + < ocb + < abc = 360

150 +90+90 + < abc = 360

330 + < abc = 360

< abc = 360 -330 = 30

so < abc = 30

⭐dhruv⭐