A rectangular carpet has an area of 120 square meters and perimeter of 46m The length of its diagonal is: - IQ786

All-in-One Exam Prep Platform

A rectangular carpet has an area of 120 square meters and perimeter of 46m The length of its diagonal is:

A rectangular carpet has an area of 120 square meters and perimeter of 46m The length of its diagonal is:

11m

13m

17m

None of these

Explanation

17m

Area of the rectangular carper $= 120 c m^{2}$
Perimeter $= 46 m$
$2 (l + b) = 46$
$(l + b) = 46 / 2$
$l + b = 23$

And, length $\times$ breadth $= 120$
Now, we know that :
$(l - b)^{2} = (l + b)^{2} - 4 l b$
$(l - b)^{2} = (23)^{2} - 4 \times 120$
$(l - b)^{2} = 529 - 480$
$(l - b)^{2} = 49$
$(l - b)^{2} = (7)^{2}$

Hence, $l - b = 7$
And $l + b = 23$

By adding, we get $2$