Question 1136847
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1.  Make a sketch.



2.  Your trapezoid has <U>ONLY ONE obtuse angle</U>.

    From the vertex of this obtuse angle draw the height (the perpendicular) to the longer base.



3.  You will obtain a right angled triangle.

    Do you see it ?


    Its hypotenuse is 5 cm.
    Its leg is 3 cm.

    Hence, its other leg is 4 cm (3-4-5 right angled triangle).



4.  Hence, the shorter base of the trapezoid is 8 - 4 = 4 centimeters.

    Is it clear so far ?



5.  To find the area of the trapezoid, use the basic formula


    Area of the trapezoid = {{{((a+b)/2)*h}}} = {{{((4 + 8)/2)*3}}} = 18 square centimeters.
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