Question

a field is in the shape of a quadrilateral. its diagonal measure 27m and the perpendicular distance of the other two vertices to the diagonal are 12m and 10m. Find the area of the field and the cost of ploughing it at the rate of rupees 50 per m2

Answer 1

area-297 sq m and the cost of ploughing is 14850 rupees

Answer 2

The area of the field is 297 cm² and the cost of ploughing it at the rate of rupees 50 per m² is 14850 cm².

To find :

Area of the field and cost of ploughing it at the rate of rupees 50 per m².

Given :

Quadrilateral ABCD has a diagonal and two vertices.

Diagonal (d) = 27 m.

Vertices :

$h_1 = 12 m\\h_2 = 10 m$

Finding area of quadrilateral :

Area of quadrilateral = $\frac{1}{2} \times\(d\times(h_1 + h_2 )$

                                  = $\frac{1}{2} \times27 \times(12+10)$

                                  = $\frac{1}{2} \times27 \times22$

                                  = $\frac{1}{2} \times594$

                                  = 297.

Area of quadrilateral is 297cm².

Cost of ploughing it at the rate of rupees 50 per m² = 50 × 297 = 14850 cm²

Therefore, the area of the field is 297 cm² and the cost of ploughing it at the rate of rupees 50 per m² is 14850 cm².

To learn more...

1. brainly.in/question/2075079

2. brainly.in/question/1744203