The length of the shorter base in an isosceles trapezoid is 4 in, its altitude is 5 in, and the measure of one of its obtuse angles is 135°. find the area of the trapezoid.

Area of trapezoid = 45 in²

Step-by-step explanation:

In a isosceles trapezoid attached length of shorter base is 4 in., its altitude is 5 in. and the measure of its obtuse angle is 135°.

We have to find the area of the trapezoid.

Area of trapezoid =

Area of trapezoid =

Now AD = BC + 2x = (4 + 2x)

tan45 =

1 =

x = 5 in

Therefore, AD = 4+(5×2) = 4 + 10

AD = 14 in

Now area of trapezoid =

                                     = 9×5 = 45 in²

your question is incomplete, write all the numbers in the sequence that it tells you.  

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