Question

The length of a rectangle is 3 metre more than its width. The perimeter of the rectangle is
26 metre. Find the length of the rectangle.

Answer 1

Answer:

$let \: width \: = x \\ and \: length \: = x + 3 \\ \\ given \: perimeter \: = 26 \\ i.e.2(l + w) = 26 \\ = > 2(x + x + 3) = 26 \\ = > 2(2x + 3) = 26 \\ = > 4x + 6 = 26 \\ = > 4x = 26 - 6 \\ \: \: \: \: \: \: \: = 20 \\ = > x = 20 \div 4 \\ \: \: \: = 5 \: \\ now \: length = x + 3 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \: \: 5 + 3 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 8$

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