the ratio of two sides of a parallelogram is3:5 and its perimeter is 160 m. find the dimensions of the parallelogram
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Step-by-step explanation:
If the two sides have a ratio of 3:4, that means their sides can be represented as 3x and 4x, which also have a ratio of 3:4.
Thus, if the sides of a parallelogram are 3x and 4x, its perimeter is equal to the following expression:
P=2(3x)+2(4x)
The perimeter is 56.
56=2(3x)+2(4x)
Divide both sides by 2.
28=3x+4x
28=7x
x=4
Plug these back into our side lengths: 3x and 4x
3(4)=12 cm
4(4)=16 cm
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