Q. 19 E4.2( 10 Votes )

# If the length of

Let sides of rectangle be L and B.

We know, Diagonal =

Or Diagonal2 = L2 + B2

102 = L2 + B2

100 sq. cm = L2 + B2

This can be rewritten as

100 = (L + B)2 – 2LB

Area of rectangle = L × B = 62.5 sqcm

Hence,

100 = (L + B)2 - 2 × 62.5

(L + B)2 = 100 + 125

Or L + B = = 15cm

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
view all courses
RELATED QUESTIONS :

Area of field in West Bengal Mathematics

The base of a parWest Bengal Mathematics

If perimeter of aWest Bengal Mathematics

The area of fieldWest Bengal Mathematics

The length of oneWest Bengal Mathematics

The length West Bengal Mathematics

If the lengWest Bengal Mathematics

If a square and aWest Bengal Mathematics