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ICSE Class 8 Answered

The perimeter of two squares  are 60 meters and 144 meters respectively. Find the perimeter of another square equal in area to the sum of the first two squares. 
Asked by Pharipriya134 | 30 Jun, 2019, 11:43: AM
answered-by-expert Expert Answer

Accoding to the condition in the uestion, we get

begin mathsize 16px style open parentheses 60 over 4 close parentheses squared plus space open parentheses 144 over 4 close parentheses squared equals space left parenthesis side right parenthesis squared rightwards double arrow 15 squared space plus space 36 squared equals space left parenthesis side right parenthesis squared rightwards double arrow 225 space plus space 1296 space equals space left parenthesis side right parenthesis squared rightwards double arrow 1521 space equals space left parenthesis side right parenthesis squared rightwards double arrow space side space equals space 39 space straight m end style

Therefore the perimeter of another square equal in area to the sum of the first two squares is 39 × 4 = 156m2


Answered by Yasmeen Khan | 30 Jun, 2019, 12:23: PM
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