find the perimeter of the rectangle whose length is 2 cm and diagonal is 2.5 CM
Answers
Answered by
43
Diagonal² = l² + b²
2.5² = 2² + b²
6.25 = 4 + b²
6.25 - 4 = b²
2.25 = b²
b = √2.25
b = 1.5cm
Now,
Perimeter of the rectangle = 2 ( l + b )
= 2 ( 2 + 1.5 )
= 2 × 3.5
= 7cm
2.5² = 2² + b²
6.25 = 4 + b²
6.25 - 4 = b²
2.25 = b²
b = √2.25
b = 1.5cm
Now,
Perimeter of the rectangle = 2 ( l + b )
= 2 ( 2 + 1.5 )
= 2 × 3.5
= 7cm
Answered by
10
Answer:
7cm
Step-by-step explanation:
using Pythagoras theorem
diagonal square = lenght^2 + breadth^2
2.5^2 = 4 + b^2
6.25 - 4 = b^2
b^2 = 2.25
b=1.5
perimeter of a rectangle is 2(l + b)
length= 2cm
breadth= 1.5cm
Perimeter = 2( 2 + 1.5)
Perimeter = 2 X 3.5
Perimeter = 7cm
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