A square and a parallelogram have the same area. If a side of the square is $40 m$ and the height of the parallelogram is $20 m$ , find the base of the parallelogram.

80 m

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20 m

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60 m

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None of these

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Solution

The correct option is B $80 m$ .
Area of square $= a \times a = 40 \times 40 = 1600$

Area of parallelogram $= b \times h = 20 b$
Since,
Area of square $=$ Area of parallelogram

$\Rightarrow$ $20 b = 1600$

$\Rightarrow$ $b = 80 m$

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A square and a parallelogram have the same area. If a side of the square is 40m and the height of the parallelogram is 20m, find the base of the parallelogram.

The correct option is B 80 m.Area of square =a×a=40×40=1600Area of parallelogram =b×h=20bSince,Area of square = Area of parallelogram ⇒20b=1600⇒b=80m

A square and a parallelogram have the same area. If a side of the square is $40 m$ and the height of the parallelogram is $20 m$ , find the base of the parallelogram.

The correct option is B $80 m$ .
Area of square $= a \times a = 40 \times 40 = 1600$

Area of parallelogram $= b \times h = 20 b$
Since,
Area of square $=$ Area of parallelogram

$\Rightarrow$ $20 b = 1600$

$\Rightarrow$ $b = 80 m$