Rectangle Help I've tried everything

Question

A rectangle has a perimeter of 600 cm. The width of the rectangle is 40 cm less than the length. What is the length? You can email me back.

Answer 1

The perimeter of a rectangle P = 2L + 2W, where L = length and W = width.

Given: W = L - 40; P = 600 cm

Substitute values into the equation: 600 = 2L + 2(L - 40)

Distribute: 600 = 2L + 2L - 80

Add like terms: 600 = 4L - 80

Add 80 to both sides: 680 = 4L

Divide by 4 on both sides: L = 680/4 = 170 cm

CHECK: W = 170 - 40 = 130

P = 2(170) + 2(130) = 340 + 260 = 600 cm

Length of the rectangle = 170 cm

Answer 2

Use the formula p=2l+2w, but first assign values to l and w and then put those values into the formula.

The value of the perimeter is 600

The value of the length is l.

The value of the width is l - 40 because the width is 40 less than then l.

Now put these values into the formula.

600=2l+2(l-40)

600=2l+2l-80

+80 +80

680=4l

/4 /4

170=l