Question

the ratio of base to height of a parallelogram is 4:3 if the area of the parallelogram is 1452cmsq. the find its base and height

Answer 1

given the ratio between the base and the height of the parallelogram is 4:3.

let the base and height of the parallelogram be 4x and 3x respectively.

--> b × h = 1452cm²

--> 4x × 3x = 1452cm²

--> 12x² = 1452cm²

--> x² = 1452/12

--> x² = 121

--> x = √121

--> x = 11cm

hence, base of the ||gm = 4x = 4 × 11 = 44cm

and height of the ||gm = 3x = 3 × 11 = 33cm

Answer 2

Answer:

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given the ratio between the base and the height of the parallelogram is 4:3.

let the base and height of the parallelogram be 4x and 3x respectively.

--> b × h = 1452cm²

--> 4x × 3x = 1452cm²

--> 12x² = 1452cm²

--> x² = 1452/12

--> x² = 121

--> x = √121

--> x = 11cm

hence, base of the ||gm = 4x = 4 × 11 = 44cm

and height of the ||gm = 3x = 3 × 11 = 33cm

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