The width of the rectangle is 20% of its perimeter and the length is 1.8 cm. Find the area of the rectangle.

| August 11, 2021 | education

To determine the perimeter of a rectangle, find the doubled sum of its adjacent sides: P = 2 • (a + b). It is known that the length: a = 1.8 cm, and the width of the rectangle is 20% of its perimeter, that is: b = 0.2 • P; b = 0.2 * 2 * (a + b); b = 0.1 • (a + b). Substitute the length of the rectangle into this expression and solve the resulting equation: b = 0.1 • (1.8 + b); b = 0.18 + 0.1 • b; b – 0.1 • b = 0.18; 0.9 • b = 0.18; b = 0.18: 0.9; b = 0.2 (cm). To determine the area of ​​a rectangle, find the product of its adjacent sides: S = a • b. Substitute the value of the length and width of the rectangle into this expression and find the value of the resulting numerical expression: S = 1.8 • 0.2 = 0.36 (sq. Cm).
Answer: the area of ​​the rectangle is 0.36 square cm.



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