The perimeter of a rectangle is equal to 163 yard. The width is 8 more than twice the length. Find the length and width.

l = 29.4 yards

w = 66.8 yards

General Formulas and Concepts:

Order of Operations: BPEMDASPerimeter of a Rectangle: P = 2w + 2l

Step-by-step explanation:

Step 1: Define

P = 163 yards

w = 2l + 8

l = l

Step 2: Set up equation

P = 2w + 2l

163 = 2(2l + 8) + l

Step 3: Solve for l

Distribute 2:                              163 = 4l + 16 + lCombine like terms:                 163 = 5l + 16Subtract 16 on both sides:        147 = 5lDivide both sides by 5:             147/5 = lRewrite:                                      l = 147/5Evaluate:                                    l = 29.4 yards

Step 4: Find w

Define:                    w = 2l + 8Substitute:              w = 2(29.4) + 8Multiply:                  w = 58.8 + 8Add:                        w = 66.8 yards