Question

Find the area of a plot of land which is in the form of quadrilateral with
one diagonal of length 60m and the length of the perpendicular drawn
from the opposite vertices on these diagonals are 38m and 22m
respectively​

Answer 1

Answer:

1800m²

Step-by-step explanation:

We know that the area of a quadrilateral is equal to the product of one diagonal and half the sum of perpendiculars drawn on it from other two vertices.

⇒ Area of a quadrilateral =1/2 × diagonal× (P1+P2)

where, P1 and P2 are two perpendiculars drawn from opposite vertices$$

Given, length of one diagonal is 60m and the perpendiculars from the other two vertices are 38m and 22m, respectively.

⟹ Area of the quadrilateral = 1/2×60×(36+22)m²

=1800m²

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