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(05.02)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?

An isosceles trapezoid with top side 10 inches long and a longer bottom side. The height is 15 inches. The base of the triangle formed from the height on the right is labeled 3 inches.
140 square inches
150 square inches
195 square inches
390 square inches

Respuesta :

Answer:

195 square inches

Step-by-step explanation:

The formula for the area of a trapezoid is given by the formula

A = 1/2(b₁+b₂)h

We have b₁ and h.  We must find b₂.

Since this trapezoid is isosceles, the base of the triangle on the right will be the same as the base of the triangle on the left; this means we have 3+3 = 6 extra from the top base, which gives us b₂ = 10+6 = 16:

A = 1/2(10+16)(15) = 1/2(26)(15) = 13(15) = 195