Determine the area of the field given below (all measures are in cm.):
Answers
Answer:
The Area of of complete figure = 60 + 60 + 240
= 360cm²
Step-by-step explanation:
In ΔCDE, CD = DE = 13cm
-> The perpendiculars on the non-congruent side, will bisect the side in an Isoseles Triangle.
= CG = EG = 5cm
∴ CD² = DG² + EG² (By Phythagoras Theorem)
= 13² = DG² + (CG² = 5²)
= 169 = DG² + 25
= DG² = 169 - 25
= DG² = 12²
= DG = 12
∴ Area of ΔCDE = 1/2 x CE x DG
= 1/2 x 10 x 12
= 60 cm²
∴ Area of ΔAFB = Area pf ΔCDE
= 60 cm² (Both are Congruent Triangles)
∴ Area of ₙBCEF = BC x CE
= 24 x 10
= 240 cm²
∴ The Area of complete figures = 60 + 60 + 240
= 360cm²