The perimeter of the rectangle whose length is 24cm and a diagonal 26cm is
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Step-by-step explanation:
Length of rectangle (l) is 24 cm.
Length of diagonal (d) is 30 cm.
Let the length of breadth be b.
Write the formula to calculate the diagonal of rectangle.
d=
b
2
+h
2
Substitute the values in equation (1).
30
b
2
+(24)
2
Solve for b.
b
2
=900−576
b
2
=324
b=±18
Since, the breath cannot be negative. So, neglect the negative value of breadth. Hence, the breadth of the rectangle is 18 cm.
Write the formula to calculate perimeter of rectangle.
P=2(l+b) (2)
Substitute the values in equation (2).
P=2(24+18)
=2(42)
=84
Thus, the perimeter of rectangle is 84 cm.
I hope it will help you
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Here is your answer mate
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