Find the area of a quadrilateral whose diagonal is 50 m and perpendicular heights to the diagonal are 10 m and 20 m.

350 m^{2}

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950 m^{2}

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750 m^{2}

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450 m^{2}

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Solution

The correct option is C $750 m^{2}$

Given
Length of the diagonal = 50 m
Height h₁ = 10 m
Height h₂ = 20 m

We know that
$A r e a o f q u a d r i l a t e r a l = \frac{1}{2} \times d \times (h_{1} + h_{2}) = \frac{1}{2} \times 50 \times (10 + 20) = \frac{1}{2} \times 50 \times 30 = 25 \times 30 = 750 m ²$

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Find the area of a quadrilateral whose diagonal is 50 m and perpendicular heights to the diagonal are 10 m and 20 m.

The correct option is C 750 m2 Given Length of the diagonal = 50 m Height h₁ = 10 m Height h₂ = 20 m We know that Area of quadrilateral=12×d×(h1+h2)=12×50×(10+20)=12×50×30=25×30=750 m²