The sides of the rectangle are equal to a and b, and its area is S.

| September 21, 2021 | education

The sides of the rectangle are equal to a and b, and its area is S. Find its unknown elements according to the following data: 1) a = 32 cm, S = 684.8 cm squared; 2) a = 4.5 m, S = 12.15 m2.

Given a rectangle with adjacent sides of length a and b, the area of ​​the rectangle can be found by the formula S = a ∙ b. 1). By condition, a = 32 cm, S = 684.8 sq. cm. To find the unknown element of a rectangle from this data, we express its side b from the formula for the area of ​​a rectangle: b = S: a. Substitute the values: b = 684.8: 32, we get b = 21.4 (cm).
2). By condition, a = 4.5 m, S = 12.15 sq. m. To find the unknown element of the rectangle from these data, we express its side a from the formula for the area of ​​the rectangle: a = S: b. Substitute the values: a = 12.15: 4.5, we get a = 2.7 (m).
Answer: unknown elements of the rectangle 1) 21.4 cm; 2) 2.7 m.



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