A park is in the shape of a parallelogram as shown below, if the diagonals denote the pathway, find the length of each diagonal.

A C = 24 m, B D = 16 m

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A C = 16 m, B D = 24 m

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A C = 24 m, B D = 12 m

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A C = 20 m, B D = 16 m

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Solution

The correct option is A $A C = 24 m, B D = 16 m$
The given parallelogram is,

We know that, the diagonals of a parallelogram bisect each other.

It is given that, $A O = 12 m$ and $D O = 8 m$ .

$A C = 2 \times A O$

$A C = 2 \times 12 = 24 m$

Similarly, $B D = 2 \times D O$

$B D = 2 \times 8 = 16 m$

Therefore, the length of the diagonals are $24 m$ and $16 m$ .

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A park is in the shape of a parallelogram as shown below, if the diagonals denote the pathway, find the length of each diagonal.

The correct option is A AC=24 m,BD=16 mThe given parallelogram is, We know that, the diagonals of a parallelogram bisect each other. It is given that, AO=12 m and DO=8 m. AC=2×AO AC=2×12=24 m Similarly, BD=2×DO BD=2×8=16 m Therefore, the length of the diagonals are 24 m and 16 m.