Question

Helps plz,

The figure shows a kite inside a rectangle. Which expression represents the area of the shaded region?
A. 2x^2
B. 4x^2
C. 6x^2
D. 8x^2
Thanks!!

Answer 1

`\huge \mathrm{Answer࿐ }`

Fig - 1 : Rectangle

• length = 3x + x = 4x

• width = x + x = 2x

`\boxed{\mathrm{Area = length * width}}`

• 
  `4x * 2x`

• 
  `8 {x}^(2)`

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Fig - 2 : Kite

`\boxed{\mathrm {Area = (1)/(2) * d_1 * d_2 }}`

• 
  `(1)/(2) * 4x * 2x`

• 
  `4 {x}^(2)`

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Area of shaded region :

• Area of rectangle - Area of kite

• 
  `8 {x}^(2) - 4 {x}^(2)`

• 
  `4 {x}^(2)`

So, Correct option is B. 4x²

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`\mathrm{ \#TeeNForeveR}`