Respuesta :
Let us say that x = length of rectangle and y = width of rectangle. It says that length is 3 inches less than twice the width. Twice the width means two times the width, so this is 2y, and 3 less means subtract 3, so the length is 2y-3. You can write this as x = 2y-3.
They give you the perimeter of the rectangle. Remember that perimeter means adding up all of the sides of the rectangle. The sides of the rectangle are x, x, y, and y, so we add all these together to get the perimeter.
length = x
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y | | width = y
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x
Perimeter is x+x+y+y = 2x+2y = 18. Next, we plug in x, since we know that x = 2y-3:
2(2y-3)+2y =18
Use the distributive property to do 2(2y-3) = 2*2y-2*3 = 4y-6. So we have
4y-6+2y = 18. Combine like terms 4y and 2y to get 6y.
6y-6 = 18. Add 6 to both sides to solve for 6y
6y = 24. Divide by 6 to solve for y
y = 4. So this is your width.
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