The perimeter of a rectangular field is \( 360 \mathrm{yd} \). The length is \( 60 \mathrm{yd} \) longer than the width. Find the dimensions.
The smaller of the two sides is yd
The larger of the two sides is yd.

Answer

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Answer

Plug w into length equation to find l: l = w + 60 = 60 + 60 = 120.

Steps

Step 1 ：Let w = width and l = length.

Step 2 ：Perimeter formula: P = 2(w + l), Given values: P = 360, l = w + 60.

Step 3 ：Substitute given values into perimeter formula and solve for w: 2(w + (w + 60)) = 360.

Step 4 ：2(2w + 60) = 360.

Step 5 ：4w + 120 = 360.

Step 6 ：4w = 240.

Step 7 ：w = 60.

Step 8 ：Plug w into length equation to find l: l = w + 60 = 60 + 60 = 120.