The length of the rectangle is 3 cm longer than the width. Its perimeter is 22 cm. Find the length, width of the rectangle.
August 14, 2021 | education
| Let the width of the rectangle be “x” cm, and the length of the rectangle (x + 3) cm. Since the perimeter of the rectangle is 22 cm, and the perimeter is found by the formula P = 2 * (a + b), we substitute the values into the formula and find the length and width of the rectangle 2 * (x + 3 + x) = 22; 2 * (2x + 3) = 22; 4x + 6 = 22; 4x = 22 – 6; 4x = 16; x = 16: 4; x = 4. So the width of the rectangle is 4 cm, then the length of the rectangle is 4 + 3 = 7 cm.
Answer: 7 cm and 4 cm.
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