In the figure Ab // Dc and Da perpendicular to AB further DC =7cm CB=10cm and AB=13cm find the area of quadrilateral abcd.
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Answer:
Figure is given/attached
Area of a rectangle dcbe
Area=length * breadth
Area=10*7
Area= 70 square cm
Area of triangle would be,
Area of triangle aed,
Area=1/2*b*h
aed is a right triangle,
de^2=da^2+ae^2
de=10cm,
ae=6cm,
da=?
10^2=da^2+6^2
100-36=da^2
da=root(64)
da=8cm
Area of a triangle "aed",
Area=1/2*6*8
Area=24 square cm
Area of quadrilateral abcd,
Area=Area of rectangle/parallelogram and triangle
Area=70+24
Area=94 square cm
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