find the perimeter of a rectangle whose one side measure 21 cm and the diagonal is 29
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Answer:
82 cm square
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Answer:
82 cm is the correct answer.
Given:
one side of a rectangle measures 21 cm and the diagonal is 29 cm
To find:
the perimeter of a rectangle
Solution:
to find the perimeter, we need to find the other side.
using Pythagoras theorem [a rectangle has 4 equal, 90-degree angles]
h² = p² + b²
29² = p² + 21²
841 = p² + 441
p² = 841- 441
p = √400
p = 20
so, the other side of the rectangle = 20 cm
perimeter of rectangle = 2 (a+ b)
perimeter of rectangle = 2 ( 21 + 20 )
perimeter of rectangle = 2 x 41
so, perimeter = 82 cm
Hence, 82 cm is the correct answer.
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