Question

ABCD is a quadrilateral. B=90 degree, if AB=9m, BC=40m, CD=15m, DA=28m. Find the total area of the quadrilateral. please answer me its very urgent please.....

Answer 1

Let ABCD is a quadrilateral in which AB =9m , BC= 40 m , CD=15m and DA=28m

join , AC

now in triangle ABC ,as angle B =90°

therefore , ar.(∆ABC) =1/2 *9*40

ar. (∆ABC) =180°

Now by Pythagoras theorem

(AC)^2 = (AB)^2+(BC)^2

(AC)^2 = (9)^2+(40)^2

(AC)^2 = 81 + 1600

AC = √1681

AC =41

Now find the area of triangle ADC by heron's formula and add the area of triangle ABC to it

You will get the area of quadrilateral ABCD

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Answer 2

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