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

$\boxed{\mathrm{Area = length \times width}}$

• $4x \times 2x$

• $8 {x}^{2}$

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Fig - 2 : Kite

$\boxed{\mathrm {Area = \dfrac{1}{2} \times d_1 \times d_2 }}$

• $\dfrac{1}{2} \times 4x \times 2x$

• $4 {x}^{2}$

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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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$\mathrm{ \#TeeNForeveR}$