The area of a parallelogram is 276 cm2. the sum of its bases is 46 cm. each slanted side measures 13 cm. what is the height? 12 cm 13 cm 23 cm 46 cm

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Mathematics

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14 April, 15:51

The area of a parallelogram is 276 cm2. the sum of its bases is 46 cm. each slanted side measures 13 cm. what is the height? 12 cm 13 cm 23 cm 46 cm

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Kaylie Hull · Answer 1

The formula for the area of a parallelogram is the same as that for the area of a rectangle: A = bh, where b and h are the base length and height respectively. If the area of the parallelogram in question is 276 cm^2 and we divide this by 23 cm (which is half of the sum of its bases, or half of 46 cm), we get h = 12 cm.

The height of the parallelogram is 12 cm.

Note that dropping a height (line) from either of the upper two corners of the parallelograph forms a triangle with hypotenuse 13 cm, height 12 cm and base 5 cm.