One side of the rectangle is 5 cm longer than the other, and the sum of their lengths is 17 cm. Find the area and perimeter of this rectangle.
Let one side of the rectangle be “x” cm, then the second side is “x + 5” cm. By the condition of the problem, the sum of the lengths of the sides of the rectangle is 17 cm, then we compose the equation and solve it:
x + (x + 5) = 17;
x + x + 5 = 17;
2x = 17 – 5;
2x = 12;
x = 12: 2;
x = 6.
This means that one side of the rectangle is 6 cm, then the second side is 6 + 5 = 11 cm.
To find the area of a rectangle, you need to multiply the value of one side by the value of the second side.
S = a * b;
S = 6 * 11 = 66 cm ^ 2;
To find the perimeter of a rectangle, you need to multiply two by the sum of the lengths of the sides.
P = 2 * (a + b);
P = 2 * (6 + 11) = 2 * 17 = 34 cm.
Answer: S = 66 cm ^ 2, P = 34 cm.
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