A rectangular carpet has an area of 120 sq. meters and a perimeter of 46 meters. The length of its diagonal is-

Question: A rectangular carpet has an area of 120 sq. meters and a perimeter of 46 meters. The length of its diagonal is-

Solution:
Let, the length of carpet be x m and breadth the y m.

ATQ,
2(x + y) = 46
x + y = 23
and xy = 120

Diagonal = √(x² + y²)
= √{(x + y)² - 2xy}
= √(23² - 2 . 120)
= √(529 - 240)
= √289
= 17 m