(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

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

step-by-step explanation:

x^2 -12x + 36 + y^2 = 36

x^2 + y^2 = 12x

r^2 = 12rcos(theta)

r = 12 cos(theta)

entering that problem on the tube might get you an answer