Question

Can someone give me an explanation along with the answer?

Answer 1

Area of a square = b^2

Area of a triangle = 1/2 * b * h (In this case we are not given the height so we need to use Heron's formula: Let a, b, c be the lengths of the sides of a triangle. The area is given by: Area = square root of (p(p - a)(p - b)(p - c)) where p is half the perimeter, or (a + b + c) / 2)

Square 1 = 5*5 = 25

Square 2 = 5*5 = 25

Triangle = p = (6 + 5 + 5) / 2 = 8 Area = square root of (8(8 - 6)(8 - 5)(8 - 5))

Area = square root of (8 * 2 * 3 * 3)

Area = square root of (144)

Trangle's area is 12

Add square 1, square 2, and the triangle together is get a total of 62 in^2

So, B.

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