Question

Q5 A field is in the shape of trapezium whose parallel sides are 24 m and 52 m . The non parallel

sides are 26 m and 30 m. Find the area of the field.​

Answer 1

Hope this answer helps you

Answer 2

Answer:912$m^{2}$

Step-by-step explanation:Figure attached

Area of Trapezium= Area of Rectangle + Area of Triangle

Use Heroins Formula to find Area of Triangle with sides 26, 28, 30.

$A= \sqrt{s(s-a)(s-b)(s-c)}$                       $s= \frac{26+28+30}{2}$ =84/2=42

  =$\sqrt{42(42-26)(42-28)(42-30)}$

 = $\sqrt{42 X 16 X 14X 12}$=336$m^{2}$

Area of square= $a^{2}$= 24 x 24 =576$m^{2}$

∴Area of Trapezium= Area of Rectangle + Area of Triangle

                                = 336 + 576 =912$m^{2}$

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