A square and a parallelogram have the same area. If the side of the sq

1.	A square and a parallelogram have the same area. If the side of the square is 48 m and the height of the parallelogram is 18 m. Find the length of the base of the parallelogram.
Answer» Given side of the square is 48 m Area of the square = (side x side) sq. unit = 48 x 48 m² Height of the parallelogram = 18 m Area of the parallelogram = ‘bh’ sq. units = b x 18 m² Also area of the parallelogram = Area of the square b x 18 = 48 x 48 b = \(\frac{48\,\times\,48}{18}\) = 8 x 16 = 128 m Base of the parallelogram = 128

A square and a parallelogram have the same area. If the side of the square is 48 m and the height of the parallelogram is 18 m. Find the length of the base of the parallelogram.

Answer»

Given side of the square is 48 m

Area of the square = (side x side) sq. unit = 48 x 48 m²

Height of the parallelogram = 18 m

Area of the parallelogram = ‘bh’ sq. units = b x 18 m²

Also area of the parallelogram = Area of the square

b x 18 = 48 x 48

b = \(\frac{48\,\times\,48}{18}\) = 8 x 16 = 128 m

Base of the parallelogram = 128

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A square and a parallelogram have the same area. If the side of the square is 48 m and the height of the parallelogram is 18 m. Find the length of the base of the parallelogram.

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