find the perimeter of a rectangle whose length is 40 centimetre and diagonal is 41 cm....by steps for 7th stander...
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Answers
Step-by-step explanation:
By Pythagoras theorem,
Diagonal ²=length ²+width ²
Now as given in the question,
Diagonal = 41 cm.
Length = 40 cm.
So, Putting these value we get,
41²=40²+width ²
width ²=41²-40²
width ²=1681-1600
width ²= 81
width=9
Hence the width of the rectangle is 9 cm.
So
The perimeter of the rectangle = 2 ( Length + Width )
= 2 ( 40 cm + 9 cm )
= 2 x 49 cm
= 98 cm
Hence the perimeter of the rectangle is 98 cm
Answer:
the perimeter of rectangle is 98 CM
Step-by-step explanation:
by by Pythagoras theorem
( Diagonal)^2 = ( Length)^2 + (Width)^2
now as given in question
diagonals = 41cm
length=40cm
so putting these value we get,
•(41)^2 =(40)^2+ (Width)^2
•(Width)^2 =(41)^2-(40)^2
•(Width)^2=1681-1600
•(Width)^2=81
• Width = 9cm
hence the width of rectangle is 9 CM
so
the perimeter of rectangle is 2 ( length + width)
= 2(40cm+9cm)
= 2*49cm
= 98 cm
hence the perimeter of rectangle is 98 CM