Question

A plot of land is in the form of a quadrilateral, where one of its diagonals is 230 m long. The

two vertices on either side of this diagonal are 60 m and 70 m away. What is the area of the plot

of land?

Answer 1

Length of the diagonal = 100 m

Two vertices on either side of diagonal=50m.

Total length of two verticies = 50x2 = 100m

So area of the plot = 100×1002= 5000m2

Answer 2

Given - Diagonal and perpendicular length

Find - Area of plot

Solution - The area of the plot of land is 14,950 m².

Area of quadrilateral = 1/2*length of diagonal*sum of perpendiculars

The distance of two vertices is the perpendicular length of vertices from diagonal. So, keep the values in the formula to find the area of the plot.

Area = 1/2*230*(60+70)

Performing addition

Area = 1/2*230*130

Performing multiplication and division

Area = 14,950 m².

So, the area of the plot of land is 14,950 m².