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please it’s due in 30 minutes i will give brainly

Please Its Due In 30 Minutes I Will Give Brainly class=

Sagot :

Answer:

Area = 113.01 m²

Step-by-step explanation:

From the picture attached,

Area of the quadrilateral ABCD = Area of triangle ABC+ Area of triangle ACD

Construction to be done → Draw a perpendicular from a point A to the opposite side CD

Area of Δ ABC = [tex]\frac{1}{2}(AB)(BC)[/tex]

                         = [tex]\frac{1}{2}(12)(10)[/tex]

                         = 60 m²

Area of triangle ACD = [tex]\frac{1}{2}(AE)(CD)[/tex]

From ΔAEC,

sin(29°) = [tex]\frac{AE}{AC}[/tex]

AC = [tex]\sqrt{(12)^2+(10)^2}[/tex] [By Pythagoras theorem]

AC = [tex]\sqrt{244}[/tex]

AC = 15.62 m

Therefore, AE = 15.62sin(29)

                        = 7.57 m

Area of ΔACD = [tex]\frac{1}{2}(7.57)(14)[/tex]

                        = 53.01 m²                                

Area of ABCD = 60 + 53.01

                        = 113.01 m²            

View image eudora
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