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the width of a rectangle is 4 more than half the length. if the perimeter of the rectangle is 74, what is the width? perimeter of rectangle: p = 2l + 2w
i'll give brainliest

Width = 15 units .

Step-by-step explanation:

Given  : The width of a rectangle is 4 more than half the length. If the perimeter of the rectangle is 74,

To find : what is the width.

Solution : We have given perimeter of the rectangle is 74,

Let the Length = x .

According to question :

The width of a rectangle is 4 more than half the length.

Width = 4 + .

Perimeter = 2 length + 2 width .

Plugging the values,

74 = 2 ( x ) + 2 (4+).

74 = 2x + 8 + x .

Combine like terms

74 = 2x +x + 8.

74 = 3x +8.

On subtracting both sides by 8.

74 -8= 3x .

66 = 3x

On dividing both sides by 3

x = 22.

Width = Width = 4 + .

Width = 4 +11.

Width = 15 units .

Therefore, Width = 15 units .