the length of the length of a diagonal of quadrilateral 121 and the length of the perpendicular drawn from the remaining party suggested is diagonal are 40 and 80 metre find the area of the quadrilateral
Answers
The area of the quadrilateral is 7260 cm².
Step-by-step explanation:
The diagonal of a quadrilateral, d = 121 m
The length of the perpendiculars drawn to the diagonal from the opposite vertices are h₁ = 40 m and h₂ = 80 m
The formula of the area of a quadrilateral is given by,
Area = ½ * [diagonal] * [sum of the lengths of the perpendiculars drawn from the opposite vertices to the diagonal]
Now, substituting the given values in the above formula of the area we get,
Area of the quadrilateral = ½ * d * [h₁ + h₂]
⇒ Area of the quadrilateral = ½ * 121 * [40 + 80]
⇒ Area of the quadrilateral = ½ * 121 * 120
⇒ Area of the quadrilateral = 60 * 121
⇒ Area of the quadrilateral = 7260 cm²
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