The length of a rectangle is 24 m and its diagonal is 26 m find the ratio between its perimeter and area
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Answer:
17 : 60
Step-by-step explanation:
Let us consider a rectangle ABCD, with length as AB and Diagonal AC...
We know that in a rectangle all the angles are 90 degree
Therefore, in triangle ABC, By Pythagoras theorem,
AB² + BC² = AC²
24² + BC² = 26²
BC = √(676-576)
BC = 10m
i.e., breadth = 10m
Now, Perimeter = 2(l+b)
= 2( 24 + 10)
= 2 * 34
= 68m
Now, Area = l * b
= 24 * 10
= 240m²
Ratio between perimeter and area = 68 : 240
= 17 : 60
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