the perimeter of a rectangle is 40cm and the ratio of its length and breath is 3:2. find the length of the digonal and its area?
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Answer:
Diagonal Formula. ... Any square that has two diagonals are equal in length to each other. Diagonal Formula is used to calculate the polygon diagonals. Diagonals are a line joining two nonadjacent vertices of a polygon i.e. a diagonal joins two vertices of a polygon excluding the edges of the figure.
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Answer: 28.84cm
Step-by-step explanation:
Let the lenght of the rectangle be 3x and breath be 2x
.:. 3x+2x = 40
=> 5x = 40
.:. X= 8
Lenght = 3 x 8 = 24cm
Breath = 2 x 8 = 16cm
Using pythagorous theorum
(Diagonal)^2 = 24^2 + 16^2
=>(Diagonal)^2 = 576 + 256
= 832
=>(Diagonal) = 28.84cm
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