On a boat, a cabin's window is in the shape of an isosceles trapezoid, as shown below. what is the area of the window?

156 square inches

182 square inches

208 square inches

364 square inches

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The area of the window is 182 square inches.

Option: B.

Step-by-step explanation:

From the given data, we are given with the length of the upper side of the trapezoid, the right side's bottom excluded the length upper side's length and height of the trapezoid.

Area of an isosceles trapezoid = ( a+b) h.

where a is the length of upper side of the trapezoid, b is the length of lower side of the trapezoid and h is the height of the trapezoid.

a= 12 inches.

h= 13 inches.

We are given only with the right side's length of base excluding the length of upper side.

So we have to calculate b= left side + upper side+ right side.

                                        b= 2+12+2.

                                        b= 16 inches.

Area of an isosceles trapezoid = (12+16)(13).

                                                   = (28)(13).

                                                   = 14(13).

                                                   = 182 square inches.

∴ Area of the window= 182 square inches.

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