Question

Find the area of the shaded region in the adjoining figure, it being given that ABOCD is a square of side 12 cm, CE = 4 cm, FA = 5 cm and BG = 5 cm.​

Answer 1

Answer:

The area of the shaded region is 68.5 cm²

Answer 2

Answer:

We have side=12cm

CE=4cm,FA=5cm,BG=5cm

We know that area of square = side^2

Area of triangle

$= \frac{1}{2} \times b \times h$

Area of shaded region = Area of square- area of AGF-area of BCG-area of DEF

$= {12}^{2} - \frac{1}{2} \times 7 \times 5 - \frac{1}{2} \times 5 \\ \\ \times 12 - \frac{1}{2} \times (12 - 4) \times (12 - 5)$

$= 144 - \frac{35 - 60 - 1}{2} \times (8) \times (7) \\ \\ = 144 - \frac{35 \times 60 \times 56}{2} \\ \\ = 144 - \frac{151}{2} \\ \\ = 144 - 75.5 = {68.5cm}^{2}$

Hope it helps you from my side

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