Question

The length of a rectangle is 5 cm more than the width. The perimeter is 50 cm. Find the length and width. Can someone help me with this problem, thank you!

Answer 1

$width \: of \: rectangle \: is \: x \: cm \\ length \: of \: rectangle \: is \:( x + 5 )\: cm \\ perimeter \: of \:rectangle \: = 2(length + width) \\ 50 = 2(x + 5 + x) \\ 50 = 2(2x + 5) \\ 2x + 5 = \frac{50}{2} \\ 2x + 5 = 25 \\ 2x = 25 - 5 \\ 2x = 20 \\ x = \frac{20}{2} \\ x = 10 \: \\ length \: of \: rectangle \: = 10 + 5 = 15cm \\ width \:of \: rectangle \: = 10cm \: \\ mark \: as \: brainliest \:$