One side of a rectangular field is 39 m and its diagonal is 89 m. What is the area of the field?
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. 3120 m2.
According to figure,
By Pythagoras theorem,
BD2 = AB2 + AD2
⇒ 892 – 392 = AD2
⇒ AD2 = 7921 - 1521 = 6400
⇒ AD = 80 m
Area = Length × breadth
⇒ A = 39 m × 80 m
⇒ A = 3120 m2