The area of rectangular field of length 90 meters and breadth 80 meters is equal to the area of a ...
The area of rectangular field of length 90 meters and breadth 80 meters is equal to the area of a square plot. What will be the length of the diagonal of the square plot?
Answer/Solution
120m
Steps/Work
Given that the length of the rectangular field l = 90 m and breadth = b = 80 m.
Then its area lb = 90 x 80 sq.m
We know that the area of square = (1/2)x(diagonal)2
from the given question, we have area of square plot = area of rectangular field
That is, 90 x 80 = 1/2 x diagonal2
diagonal^2 = 2 x 7200 = 14400 = (120)2
diagonal = 120 m.hence B
Then its area lb = 90 x 80 sq.m
We know that the area of square = (1/2)x(diagonal)2
from the given question, we have area of square plot = area of rectangular field
That is, 90 x 80 = 1/2 x diagonal2
diagonal^2 = 2 x 7200 = 14400 = (120)2
diagonal = 120 m.hence B