Question

1. what is the area of a general quadrilateral?​

Answer 1

Answer:

Area of General Quadrilateral Formula = 1/2 x diagonals length x ( sum of the height of two triangles ).

Answer 2

Answer:

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Step-by-step explanation:

Area of General Quadrilateral Formula = 1/2 x diagonals length x ( sum of the height of two triangles )

.We can observe the following quadrilateral as a combination of two triangles, considering the diagonal PQ as a common base.

.h₁ and h₂ are the heights of triangles PQR and PSR respectively.

Area of quadrilateral PQRS can be calculated by adding the area of two triangles i.e. PQR and PSR.

Area of quadrilateral PQRS can be calculated by adding the area of two triangles i.e. PQR and PSR. Let's calculate the area of triangle PQR and the area of triangle PSR.

Area of quadrilateral PQRS can be calculated by adding the area of two triangles i.e. PQR and PSR. Let's calculate the area of triangle PQR and the area of triangle PSR. Area of ΔPSR = 1/2 x Base x Height = 1/2 x PR x h1

Area of quadrilateral PQRS can be calculated by adding the area of two triangles i.e. PQR and PSR. Let's calculate the area of triangle PQR and the area of triangle PSR. Area of ΔPSR = 1/2 x Base x Height = 1/2 x PR x h1Area of ΔPQR = 1/2 x Base x Height = 1/2 x PR x h2

Area of quadrilateral PQRS can be calculated by adding the area of two triangles i.e. PQR and PSR. Let's calculate the area of triangle PQR and the area of triangle PSR. Area of ΔPSR = 1/2 x Base x Height = 1/2 x PR x h1Area of ΔPQR = 1/2 x Base x Height = 1/2 x PR x h2Therefore, the area of quadrilateral PQRS is

Area of quadrilateral PQRS can be calculated by adding the area of two triangles i.e. PQR and PSR. Let's calculate the area of triangle PQR and the area of triangle PSR. Area of ΔPSR = 1/2 x Base x Height = 1/2 x PR x h1Area of ΔPQR = 1/2 x Base x Height = 1/2 x PR x h2Therefore, the area of quadrilateral PQRS is Area of ΔPSR + Area of ΔPQR = 1/2 x PR x h1 + 1/2 x PR x h2 = PR(h1 + h2/2)

Area of quadrilateral PQRS can be calculated by adding the area of two triangles i.e. PQR and PSR. Let's calculate the area of triangle PQR and the area of triangle PSR. Area of ΔPSR = 1/2 x Base x Height = 1/2 x PR x h1Area of ΔPQR = 1/2 x Base x Height = 1/2 x PR x h2Therefore, the area of quadrilateral PQRS is Area of ΔPSR + Area of ΔPQR = 1/2 x PR x h1 + 1/2 x PR x h2 = PR(h1 + h2/2) = 1/2 PR (h1 + h2)

Area of quadrilateral PQRS can be calculated by adding the area of two triangles i.e. PQR and PSR. Let's calculate the area of triangle PQR and the area of triangle PSR. Area of ΔPSR = 1/2 x Base x Height = 1/2 x PR x h1Area of ΔPQR = 1/2 x Base x Height = 1/2 x PR x h2Therefore, the area of quadrilateral PQRS is Area of ΔPSR + Area of ΔPQR = 1/2 x PR x h1 + 1/2 x PR x h2 = PR(h1 + h2/2) = 1/2 PR (h1 + h2)Hence, the formula to find the area of the quadrilateral is derived as:

Area of quadrilateral PQRS can be calculated by adding the area of two triangles i.e. PQR and PSR. Let's calculate the area of triangle PQR and the area of triangle PSR. Area of ΔPSR = 1/2 x Base x Height = 1/2 x PR x h1Area of ΔPQR = 1/2 x Base x Height = 1/2 x PR x h2Therefore, the area of quadrilateral PQRS is Area of ΔPSR + Area of ΔPQR = 1/2 x PR x h1 + 1/2 x PR x h2 = PR(h1 + h2/2) = 1/2 PR (h1 + h2)Hence, the formula to find the area of the quadrilateral is derived as:Area of General Quadrilateral Formula = 1/2 x diagonals length x ( sum of the height of two triangles )