Answer:
length = 11 , width = 18
Step-by-step explanation:
Begin by letting x represent the width.
then double the width = 2x and 5 less than this = 2x-5
meaning the length is 2x - 5
now perimeter = 2x width + 2 x length
therefore 2x + 2(2x - 5) = 38
so 2x + 4x - 10 = 38
⇒ 6l = 38 + 10 = 48 ⇒ l = 8
width = x = 8cm and length = 2x - 5 = 16 - 5 = 11cm
check check: (
2 x 8
) + (
2 x 11
) = 16 + 22 = 38
