Question

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

Answer 1

Answer:

Step-by-step explanation:

Answer 2

The area of the shaded region is 68.5 cm²

Step-by-step explanation:

Please find attachment for figure.

Square divide into 4 parts.

Three right angle triangle and one quadrilateral.

Area of shaded region = (Area of square) - (Area of all three triangle)

Formula:-

$\text{Area of square}=side\times side$

$\text{Area of triangle}=\dfrac{1}{2}\times base\times height$

$\text{Area of shaded region}=12\times 12-\dfrac{1}{2}(7\times 5+12\times 5+7\times 8)$

$\text{Area of shaded region}=144-75.5$

$\text{Area of shaded region}=68.5\text{ cm}^2$

Hence, the area of the shaded region is 68.5 cm²

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